TECHNOLOGY
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Embodiments of the present invention generally relate to audio processing, and more specifically, to method and system for noise level estimation.
BACKGROUND
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Real-life noise may consist of different types of noises: stationary and non-stationary noises. The non-stationary noise may include two classes: an abrupt increase of noise floor and an impulsive noise, which are particularly challenging for audio processing with the noise signal concerned. As used herein, the abrupt increase of noise floor refers to the noise floor suddenly increasing from one level to another level and maintaining substantially stationary within a relative long period of time, and the impulsive noise refers to a non-stationary noise the level of which increases suddenly and then drops down within a short period of time. Usually, in audio processing, such as speech enhancement, audio play, or noise compensation, the noise level is required to be tracked. For example, in headphone noise compensation, the estimated level of a noise signal may directly impact the gain applied to the audio signal. The actual signal level of a noise signal generally cannot be applied as it changes rapidly over time, especially when an abrupt increase of noise floor or an impulsive noise occurs. As such, a noise signal input should be processed to obtain an estimated noise level that can be used in audio processing, as illustrated in Figure 1.
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Noise estimation techniques have been developed mainly in the framework of speech processing, especially in speech enhancement. These techniques, for example, may be divided into: minimum tracking, time-recursive averaging, histogram based noise estimation, and quantile based noise estimation and so on. Concerning the two classes of non-stationary noises, the estimated noise level is desired to follow the abrupt increase of noise floor and to resist a drift of noise estimation during the short-period impulsive noise. However, the existing noise estimation methods are either too sensitive to the abrupt increase of noise floor or too sensitive to the impulsive noise, disabling to estimate a robust level of noise in these two noise scenarios.
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In view of the foregoing, there is a need in the art for a solution for appropriately estimating noise level for both impulsive noises and abrupt increasing of noise floor.
SUMMARY
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In order to address at least one of the foregoing and other potential problems, embodiments of the present invention proposes a method and system for noise level estimation.
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In one aspect, embodiments of the present invention provide a method for noise level estimation. The method comprises: responsive to an increase of a signal level of a noise signal, calculating an impulsive noise probability of the noise signal, the impulsive noise probability indicating a likelihood that the noise signal is an impulsive noise; determining a variable smoothing factor for noise level estimation based on the impulsive noise probability, the variable smoothing factor being associated with a previous estimated level of the noise signal; and smoothing the noise signal with the variable smoothing factor so as to determine a current estimated level of the noise signal. Embodiments in this regard further comprise a corresponding computer program product.
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In another aspect, embodiments of the present invention provide a system for noise level estimation. The system comprises: an impulsive noise probability calculation unit, configured to calculate an impulsive noise probability of a noise signal responsive to an increase of a signal level of the noise signal, the impulsive noise probability indicating a likelihood that the noise signal is an impulsive noise; a smoothing factor determination unit, configured to determine a variable smoothing factor for noise level estimation based on the impulsive noise probability, the variable smoothing factor being associated with a previous estimated level of the noise signal; and a noise level estimation unit, configured to smooth the noise signal with the variable smoothing factor so as to determine a current estimated level of the noise signal.
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Through the following description, it would be appreciated that in accordance with embodiments of the present invention, the estimated noise level can be resist from drifting in the scenario of impulsive noise based on the variable smoothing factor that is determined from the impulsive noise probability. Other advantages achieved by embodiments of the present invention will become apparent through the following descriptions.
DESCRIPTION OF DRAWINGS
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Through the following detailed description with reference to the accompanying drawings, the above and other objectives, features and advantages of embodiments of the present invention will become more comprehensible. In the drawings, several embodiments of the present invention will be illustrated in an example and non-limiting manner, wherein:
- Figure 1 illustrates a general diagram of noise level estimation;
- Figure 2 illustrates a flowchart of a method for noise level estimation in accordance with an example embodiment of the present invention;
- Figure 3 illustrates a schematic diagram of noise level estimation in accordance with one example embodiment of the present invention;
- Figure 4 illustrates a schematic diagram of noise level estimation in accordance with another example embodiment of the present invention;
- Figure 5(a) illustrates a comparison of the estimated noise level in accordance with an existing method and an example embodiment of the present invention;
- Figure 5(b)-(d) illustrate graphs of the parameters used in the example embodiment of Figure 5(a);
- Figure 6 illustrates a block diagram of a system for noise level estimation in accordance with an example embodiment of the present invention; and
- Figure 7 illustrates a block diagram of an example computer system suitable for implementing embodiments of the present invention.
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Throughout the drawings, the same or corresponding reference symbols refer to the same or corresponding parts.
DESCRIPTION OF EXAMPLE EMBODIMENTS
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Principles of the present invention will now be described with reference to various example embodiments illustrated in the drawings. It should be appreciated that depiction of these embodiments is only to enable those skilled in the art to better understand and further implement the present invention, not intended for limiting the scope of the present invention in any manner.
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As mentioned above, an abrupt increase of noise floor and an impulsive noise are particularly challenging for audio processing with the noise signal concerned, and in noise estimation, the estimated noise level is desired to follow the abrupt increase of noise floor and to resist a drift of noise estimation during the short-period impulsive noise floor. In this sense, the increase of noise floor and the impulsive noise should be distinguished from the noise signal input, and then different smoothing factors can be applied to smooth the noise signal input. However, at the beginning of increase, there is no discrimination of a sudden increase of noise floor and an impulsive noise. An easy solution to distinguish is to look-ahead and buffer enough length of signal to build up sufficient confidence on the signal type and later process it accordingly, which, however, may cause large latency.
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Embodiments of the present invention propose a method and system for robust noise level estimation, which can track the noise level closely and smoothly, follow the increase of noise floor fast and resist the short-period impulsive noise. The method and system of the present invention introduce impulsive noise probability and adaptive smoothing factors so as to achieve low-latency and accurate classification of signal types and robust noise level estimation.
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Reference is first made to Figure 2 which shows a flowchart of a method 200 for noise level estimation in accordance with example embodiments of the present invention.
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At step 201, responsive to an increase of a signal level of a noise signal, an impulsive noise probability of the noise signal is calculated. The impulsive noise probability indicates a likelihood that the noise signal is an impulsive noise.
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In some embodiments of the present invention, the noise signal input may be, for example, obtained from microphone input or processed microphone signals, and may be any daily-life stationary or non-stationary noise. As the level of noise is a function of frequency and time, the noise level estimation may be performed band by band, or on a broadband. The noise level estimation at different frequency bands may be performed concurrently or in sequence. As such, the noise signal to be estimated may be a signal in one of a plurality of frequency bands of the noise input signal, or is a broadband signal of the noise input signal.
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One purpose of the invention is to quickly and accurately distinguish the increase of noise floor and the impulsive noise, both of which have an increasing signal level at early stage. The increasing signal level may be used to trigger the calculation of the impulsive noise probability. In an example embodiment of the present invention, an onset detector may be used to track the onset of the noise signal, and the probability of signal level increasing may be represented as an onset probability. As such, before calculating the impulsive noise probability, an onset probability of the noise signal may be determined, and the onset probability indicates the likelihood of the increase of the signal level. The determination of onset probability will be discussed with more details below with reference to Figure 3.
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Responsive to the signal level detected as being increasing, operations are performed to calculate the impulsive noise probability indicating the likelihood of the noise signal being an impulsive noise. The impulsive noise probability is between 0 and 1. When the impulsive noise probability is calculated, the probability of noise floor increase may also be determined by 1 minus the impulsive noise probability.
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As referred herein, the abrupt increase of noise floor refers to the noise floor suddenly increasing from one level to another level and maintaining substantially stationary within a relative long period of time, and the impulsive noise refers to a non-stationary noise the level of which increases suddenly and then drops down within a short period of time. For instance, in a real-life scenario, a person in a corner shop is exposed to a relatively quiet indoor environment. When he opens the door, he suddenly enters an environment of high-level ambient traffic noise and may hear a loud door slam afterwards on top of the traffic noise. In this scenario, the traffic noise may result in an increase of noise floor, and the noise of door slam, the level of which drops down quickly, may be classified into the impulsive noise.
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The calculation of impulsive noise probability will be discussed with more details below with reference to Figure 3.
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The method 200 then proceeds to step S202, where a variable smoothing factor is determined for noise level estimation based on the impulsive noise probability at step S201.
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As used here, the variable smoothing factor is associated with a previous estimated level of the noise signal. The variable smoothing factor is used to smooth the noise signal so as to have the estimated level of the noise signal following the increase of noise floor fast and resisting the short-period impulsive noise. Since the smaller smoothing factor may result in the estimated noise level following the actual level of the noise signal more quickly and versa vice, if the calculated impulsive noise probability is smaller, which means the noise signal is probably an increase of noise floor, then the variable smoothing factor is determined to be smaller, and versa vice.
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Generally, even without the increase of noise floor and impulsive noise, the noise signal input may also be smoothed with a constant smoothing factor, which is referred to as a reference smoothing factor herein, so as to produce a smoothed noise signal with more smoothed level for later processing. Therefore, the determined variable smoothing factor at step S202 may be between this constant smoothing factor and 1. The determination of variable smoothing factor will be discussed with more details below with reference to Figure 3.
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The method 200 then proceeds to step S203, where the noise signal is smoothed with the variable smoothing factor so as to determine a current estimated level of the noise signal. This estimated level may be used in later audio processing, such as noise compensation, speech enhancement or the like. This step will also be discussed with more details below with reference to Figure 3.
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Figure 3 illustrates a schematic diagram 300 of noise level estimation in accordance with one example embodiment of the present invention. With reference to Figure 3, the processing of noise level estimation will be described more detailed. It should be noted that one or more of the blocks shown in Figure 3 may be optional and thus can be omitted in some embodiments, and some of the blocks may be combined as one block or one block may be divided into multiple blocks in practice. The scope of the present invention is not limited in this regard.
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The operations of the blocks illustrated are described in the following.
The block of frequency-time analysis 301
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As the noise signal input is varied with time and frequency, the processing of noise level estimation may be performed for each of a plurality of frequency bands, and the parameters may be tuned band by band. Then, the noise signal to be estimated may be a signal in one of a plurality of frequency bands of a noise input signal, or is a broadband signal of the noise input signal. For example, the frequency of a noise signal input may be divided into five bands, B1 (f≤700Hz), B2 (700Hz< f ≤1000Hz), B3 (1000Hz< f ≤2000Hz), B4 (2000Hz< f ≤6000Hz), and B5 (f >6000Hz), and the noise signal to be estimated may be at one of the five bands.
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Under this condition, the output of block 301 may be X(f, t), wherein X(f,t) may represent the actual signal level of a noise signal in one frequency band and at a point of time in one example embodiment.
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It should be noted that the block 301 may be optional in other embodiments if a broadband noise signal is used in the processing. In this case, the noise signal may be represented as X(t) for example.
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In some embodiment, this block may also determine the processing interval Δt of the noise level estimation, that is, it may output the noise signal X(f,t) every other processing interval Δt. The processing interval Δt may be determined by the sample rate. For example, this block may output the noise signal X(f, t) every other sample, or every other ten samples, or the like.
The blocks offast smoothing and slow smoothing 302, 303
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Two smoothers may be used to smooth the noise signal before it is input into the blocks of onset probability, maximum tracking or impulsive noise probability. As the actual level of the noise signal changes too frequently, pre-smoothing operations may produce more smoothed noise signal for later processing.
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In some embodiments, the block of fast smoothing 302 may utilize a small smoothing factor to smooth the noise signal so as to track the actual noise level quickly. For example, the block of fast smoothing 302 may operate in the log domain as follows:
wherein
X sm1,dB (
f,t) represents the fast smoothed noise signal in log domain at a point of
time t ; X sm1,dB (
f,t - Δ
t) represents the fast smoothed noise signal in log domain at a previous point of time
t - Δ
t;
XdB (
f,t) represent the raw noise signal in log domain at the point of time
t; and
α 1 represents a linear domain smoothing factor and is between 0 and 1. In one example, the value of
α 1 may correspond to 0.01 seconds for the signal to decay to 50% of its final value.
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In some embodiments, the block of slow smoothing 303 may utilize a large smoothing factor to smooth the noise signal so as to track the actual noise level slowly. For example, the block of slow smoothing 303 may operate in the log domain as follows:
wherein
X sm2,dB (
f,t) represents the slow smoothed noise signal in log domain at a point of time
t ;
X sm2,dB (
f,t - Δ
t) represents the slow smoothed noise signal in log domain at a previous point of time
t - Δ
t ; XdB (
f, t) represent the raw noise signal in log domain at the point of time
t; and
α 2 represents a linear domain smoothing factor and is between 0 and 1. In one example, the value of
α 2 may correspond to 0.01 seconds for the signal to decay to 90% of its final value.
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It should be noted that both or one of blocks 302 and 303 may be omitted in some embodiments. The scope of the present invention is not limited in this regard.
The block of onset probability 304
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The onset probability of the noise signal indicates a likelihood of the increase of the signal level, and may be used to trigger the calculation of impulsive noise probability. In one example embodiment, the input of the onset probability block 304 is the slow smoothed noise signal X sm2(f,t), as illustrated in Figure 3. It should be noted that, in other embodiments, this block may have the fast smoothed noise signal X sm1(f,t) or the raw noise signal X(f, t) as the input.
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In some example embodiments, the onset probability is determined based on the crest factor, which is the peak to root-mean-square (rms) ratio. In one example, if the crest factor is larger than a threshold, the onset probability may be determined as 1, and otherwise may be determined as 0. In other examples, the onset probability may be measured as a continuous value between 0 and 1, and may be smoothed from the previous onset probability in order to avoid a sudden change. In such examples, the onset probability may be smoothed with a time constant (smoothing factor) and may be calculated as follows:
wherein
Pon (
f,t) represents the onset probability of the noise signal at a frequency
f and a point of time
t ; Pon (
f,t - Δ
t) represents the onset probability at a previous point of time
t - Δ
t; and
αp is between 0 and 1 and represents a linear domain smoothing factor represented by the time it takes for the onset probability to decay to 90% of its final value. In one example, such a time may be 4.3 ms.
I(
f,t) indicates a comparison of the crest factor and the threshold. It may be determined in the following equation:
wherein
cdB (
f,t) represents the crest factor in log domain and may be calculated in the following equations (5) and (6); and
LdB (
f) represents the threshold of crest factor in log domain.
wherein
X sm2,dB (
f,t) represents the output
X sm2(
f,t) of the
slow smoothing block 303 in log domain;
X sm3,dB (
f,t) represents a further smoothed noise signal in log domain approximating a rms estimation; and
ag represents the smoothing factor for
X sm3,dB (
f,t) and is between 0 and 1, which, in one example, may corresponds to 2 second for
X sm3,dB (
f,
t) to decay to 90% of its final value. As mentioned above,
X sm2,dB (
f,t) may also be replaced by the fast smoothed noise signal
X sm1(
f,t) or the raw noise signal
X(
f,t)
.
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The threshold of crest factor
LdB (
f) may be different for different frequency band in the case where the noise level estimation is done band by band, and otherwise may remain the same for a broadband. For example, if the frequency of the noise signal is divided into five frequency bands and for each frequency band, the threshold may be different, such as:
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There are many other ways to calculate onset probability besides the above approach. For example, if the signal level increases to be higher than a threshold within a predetermined period of time, the onset probability may be determined as 1. The scope of the present invention is not limited in this regard.
The blocks of maximum tracking and impulsive noise probability 305 and 306
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As noted in the above, the onset probability is input to the block of impulsive noise probability 306 and is used to trigger the calculation of the impulsive noise probability. In accordance with some embodiments of the present invention, with the input of the onset probability, the calculation of the impulsive noise probability may comprise the following steps: (1) setting an initial value of the impulsive noise probability as the onset probability, when the onset probability is higher than a first predetermined probability threshold; (2) determining whether the noise signal has a decay trend; and (3) calculating the impulsive noise probability of the noise signal based on whether the noise signal has the decay trend.
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As can be seen from the above, the calculation of impulsive noise probability may be triggered by the onset probability. For example, if the onset probability is higher than 0.5, the calculation of impulsive noise probability begins and the initial value of the impulsive noise probability may be set as the onset probability. It should be noted that the first predetermined probability threshold may be other values between 0 and 1, and the initial value of the impulsive noise probability may be set as other values, such as a value lower or higher than the onset probability, or a fixed value.
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In other embodiments of the present invention, an impulse status indicator may be used to indicate whether the noise signal is currently estimated as an impulsive noise or not. In one embodiment, this impulse status indicator may be a Boolean variable. That is, if the noise signal is currently estimated as an impulsive noise, the impulse status indicator may be represented as True, and otherwise, it may be represented as False. It should be noted that the impulse status indicator may have other values. For example, it may have a value of 0 or 1 to indicate the status of impulse. In these embodiments, before beginning to calculate the impulsive noise probability, the impulse status indicator may first be determined as False. Then, when the onset probability is higher than the first predetermined probability threshold, the calculation of impulsive noise probability may begin and the impulse status indicator may be set as True.
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After triggered by the onset probability, the calculation of impulsive noise probability is based on the decay trend, as the impulsive noise has a decay nature within a short period of time, which may not be present in the increase of noise floor. For example, in Figure 5(a) where the excitation pattern of raw signal level at 1 kHz band as a function of time is shown, the noise includes an abrupt level changed from 0 dB to around 30 dB at around 1.8 seconds and lasts for more than 5 second. This noise also includes a door slam at around 7.6 seconds, which has an onset of 40 dB and lasts for only 1.6 seconds. Although the door slam part contains a lot of variations in the magnitude over time, the general level is decaying.
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When determining whether the noise signal has a decay trend, in accordance with one example embodiment of the present invention, a maximal signal level of the noise signal within a first time window may be determined first, and then whether the noise signal has the decay trend may be determined based on a distance between the maximal signal level and the signal level of the noise signal. In this case, the block of maximum tracking 305 is used to track the maximal signal level within the first time window. The block of maximum tracking 305 may begin to operate when the block of impulsive noise probability 306 begins calculating. In other words, the maximum tracking may also be triggered by the onset probability in some embodiments, and may also be triggered by whether the impulse status indicator is False in some other embodiments. The original value of the maximal signal level may be set as the signal level of the noise signal in some example embodiments of the present invention. For example, the original value of the maximal signal level may be set as the raw signal level X(f,t), the slow smoothed signal level X sm2(f,t)or the fast smoothed signal level X sm1(f,t).
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In some embodiments, the length of the first time window may be predetermined, such as 2 seconds or 3 seconds. As the impulsive noise has a decay nature, and the maximal signal level remains the same within a period of time as the time window shifted, the distance between the maximal signal level and the signal level of the impulsive noise is relatively large at this period of time. The signal level of impulsive noise may be the output of the fast smoothing block 302 as illustrated in Figure 3, and may also be the raw signal level or the output of the slow smoothing block 303. As such, the decay trend in the noise signal may be detected. In order to decide that the noise signal has a decay trend, a threshold may be used to measure if the distance is such large that a decay trend is probably contained in this noise.
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There are many other ways to determine whether the noise signal has a decay trend. In accordance with another embodiment of the present invention, whether the noise signal has the decay trend is determined based on a slope of the noise signal over time. For example, a slope of the magnitudes of the noise signal at two points of time may be calculated, and if this slope is negative, it means that the noise level is decaying between these two points of time. In other examples, in order to improve confidence, multiple slopes may be determined. By analyzing the slopes, it may be determined whether there is a decay trend in the noise signal.
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According to some example embodiments of the present invention, when calculating the impulsive noise probability, if the noise signal is determined to have a decay trend, it means that the noise signal may probably be an impulsive noise, and versa visa. As such, the impulsive noise probability is increased at a first rate when the noise signal has the decay trend, and the impulsive noise probability is decreased at a second rate when the noise signal has no decay trend. For example, if the decay trend is determined by the distance between the maximal signal level and the signal level of the noise signal, the impulsive noise probability may be calculated as follows:
wherein
Pimp (
f,t) represents the impulsive noise probability;
DdB (
f,t) represents the distance between the maximal signal level
Xmax,dB (
f,t) and the fast smoothed signal level
X sm1,dB (
f,t) ;
Simp (
f,t) represents the impulse status indicator; Do represents the threshold used to determine whether the noise signal has a decay trend, the value of which may be 6 dB in one example; and
αi represents a linear domain smoothing factor used to smooth the impulsive noise probability and is between 0 and 1.
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If the distance is larger than D 0, it may be regarded as a positive sign of impulsive noise, and otherwise a negative sign. Through the calculation of the impulsive noise probability in Equation (8), if there is no decay trend, Pimp (f,t) is going down as the noise signal does not look like an impulse, and if there is a decay trend, Pimp (f,t) is going up.
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As noted above, the calculation of impulsive noise probability may be performed band by band. Considering the decay trends of the noise signal may occurs at different time for different frequency bands, if the noise signals in one or more frequency band are determined to have decay trend, it means that the other frequency bands may also decay sooner or later. As such, if the calculated impulsive noise probability for at least one frequency band of the noise input signal is higher than a confidence threshold, the impulsive noise probabilities for the remaining frequency bands are increased. Then, accurate decision for the distinguishment of the impulsive noise and noise floor increase may be accelerated at all frequency bands. For example, if the impulsive noise probability of noise signal in B1 (f≤700Hz) is determined first to be 0.6, which is higher than the confidence threshold 0.5, then the impulsive noise probabilities of noise signals in other frequency bands may be increased to 0.6.
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It should be noted that, in the above case, the increase of impulsive noise probabilities for the remaining frequency bands may not necessarily be the same, and in some example embodiments, not all impulsive noise probabilities for the remaining frequency bands are increased. The scope of the present invention is not limited in this regard.
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As the onset of increase usually occurs at the early stage, the onset probability may be smaller at the ending of an impulse, and then the impulsive noise probability may also decrease at this point of time. Another sign of the ending of the impulse is that a distance between the current estimated level of the noise signal and the signal level of the noise signal is lower than an error tolerance, because the estimated level is designed to resist the impulsive noise. In some examples, the signal level of the noise signal used here may be the raw noise level, or may be the fast or slow smoothed noise level output from the block 302 or 303.
-
As such, the block of
maximum tracking 305 may keep tracking the maximum of noise level until the onset probability is lower than a second predetermined probability threshold and a distance between the current estimated level of the noise signal and the signal level of the noise signal is lower than a predetermined distance threshold. Under these conditions, the maximal signal level is decreased in further embodiments of the present invention. In some examples, the maximal signal level may be decreased to the raw noise level, the fast or slow smoothed noise level, or the estimated noise level at the time of the above conditions are met. For example, when the following conditions are met:
the maximal signal level
Xmax,dB (
f,t) may be set as:
where
X 0,dB represents a constant for error tolerance, and its value may be set as 1 dB in an example. The conditions in Equation (10) generally indicate the ending of an impulse as the signal level of the noise signal
X sm2,dB (
f,t) may go down to the estimated level
Y(
f,t). In this case, the maximal signal level may also be set to
Y(
f,t)
.
-
As noted above, an impulse status indicator may be used to indicate whether the noise signal is currently estimated as an impulsive noise. Since the conditions in Equation (10) indicate the ending of an impulse, the impulse status indicator may also be changed to False, which may then stop the maximum tracking in some embodiments.
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It should be noted that if the decay trend is determined by other ways instead of the distance DdB (f,t), the above Equation (8) may also be used. In this case, the condition DdB (f,t) > D 0 in Equation (8) may generally be covered by that "the noise signal has a decay trend." It should also be noted that the impulsive noise may be calculated in other ways, as long as the impulsive noise probability increases if a decay trend is detected and decreases if no decay trend is detected.
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With reference to Figure 5(a), it can be seen that there is large variations of magnitude over time even during the presence of impulse. For example, from 16.1 seconds to 17.1 seconds in the raw noise signal shown in Figure 5(a), there is a four quick knocks in series on the door. The four impulses are so close that there is no pause in between. In this case, the block of onset probability is triggered frequently. When onset is just detected, the impulse noise probability has not been established. At this time if another onset follows immediately, the smoothing utilizing the calculated impulsive noise probability may be disturbed. As such, the block of impulsive noise probability 306 may also count the time the newest impulse has lasted. In accordance with some embodiments of the present invention, an impulse establishment time is recorded when beginning to calculate the impulsive noise probability. The impulse establishment time may be recorded by the block 306 in Figure 3 in an example. In these embodiments, the impulse establishment time is set to zero when the onset probability is higher than the first predetermined threshold. As noted above, when the onset probability is higher than the first predetermined threshold, the calculation of impulsive noise probability may be triggered, which means that a new onset is detected. At this time, the impulse establishment time may be set to zero and the time the new detected impulse has last may be recorded. As illustrated in Figure 3, the impulse establishment time Timp (f,t) is output to the block of adaptive smoothing 307 to facilitate the operations of this block.
The block of adaptive smoothing 307
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The block of adaptive smoothing 307 in Figure 3 may be used to perform the determination of the variable smoothing factor at step S202 of the method 200 and the smoothing based on the variable smoothing factor at step S203 of the method 200. As such, in one example embodiment, the block 307 may have the input of the noise signal from the block 301, the onset probability from the block 304, and the impulsive noise probability and the impulse establishment time from the block 306.
-
As noted above, the variable smoothing factor is determined based on the impulsive noise probability, and in some embodiments, the impulse establishment time may be used to avoid disturbing by a series of onsets. More particularly, the variable smoothing factor is determined based on a reference smoothing factor and a maximum of the impulsive noise probability and the onset probability, when the impulse establishment time is lower than a predetermined time threshold; and the variable smoothing factor is determined based on the reference smoothing factor and the impulsive noise probability, when the impulse establishment time is higher than or equal to the predetermined time threshold. In determination, the variable smoothing factor may be a decreasing function of the impulsive noise probability over time. In other words, the variable smoothing factor is increased as the impulsive noise probability is increased over time, and the variable smoothing factor is decreased as the impulsive noise probability is decreased over time. For example, the variable smoothing factor
α(
f,t) may be determined as the following:
where
αd represents the reference smoothing factor and is between 0 and 1,
α(
f,
t) is determined as between
αd and 1 according to Equation (12); and
T 0 represents a time constant. It would be understood from Equation (12) that when onset is just detected, the impulsive noise probability has not been established, in order to avoid following up other onsets, max[
Pimp (
f,
t),
Pon (
f,
t)] is used to calculate
α(
f,
t). After
T 0, the impulsive noise probability has been established, and only
Pimp (
f,t) is used.
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As noted above, the estimated level of the noise signal is determined based on the variable smoothing factor. In accordance with some embodiments of the present invention, the noise signal is smoothed with the variable smoothing factor; and a smoothed signal level of the smoothed noise signal is determined as the current estimated level of the noise signal. For example, the estimated level may be determined as the following:
where
YdB (
f,t) represents the current estimated level in log domain, which is equal to the smoothed signal level;
YdB (
f,t-Δ
t) represent the previous estimated level in log domain; and
XdB (
f, t) presents the raw signal level in log domain. In this equation, the variable smoothing factor determined is associated with the previous estimated level and used to smooth the noise signal.
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By utilizing Equation (12), the variable smoothing factor increases and decreases as the impulsive noise probability increases and decreases. By smoothing in Equation (13), it can be seen that, the larger the variable smoothing factor is, the slower the changing of the estimated level over time is. As such, if the impulsive noise probability is determined to be large, which means that the noise signal may probably be an impulse, then the estimated level may resist the noise signal, which indicates a slow reacting estimation. For example, if the impulsive noise probability is equal to 1, according to Equations (12) and (13), the estimated level will hold at the previous estimated level and will not follow the increase of impulse level. As such, it appears that the impulsive noise will be ignored in the later audio processing.
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As discussed above and as illustrated in Figure 3, the noise level estimation allows following the noise floor increase and resisting the short-period impulsive noise. For the noise floor increase, as can be seen from Equation (12) for example, if the impulsive noise probability indicates that the noise signal is probably an increase of noise floor, the adaptive smoothing factor will equal or near to the reference smoothing factor, which is used for smoothing the noise signal without abrupt increase and may usually small. Then when determining the estimated level by this adaptive smoothing factor, the estimated level may increase slowly from the level before the onset to the later stationary level of the noise floor. This latency is desired to be reduced.
-
Reference is now made to Figure 4, which illustrates a schematic diagram of noise level estimation in accordance with another example embodiment of the present invention. For purposes of illustration, certain references with respect to Figure 3 are maintained the same. In Figure 4, additional blocks are added to reduce the latency of noise level estimation in the case of noise floor increase.
The block of minimum tracking 309
-
As stated above, when onset is likely to be caused by an abrupt increase of noise floor, the estimated noise level is desired to be brought up instantly. In order to achieve this target, the block of
minimum tracking 309 may be used to track a minimal signal level of the noise signal within a second time window. In the abrupt increase of noise floor, if the increased level of noise floor is within the second time window and then is determined as the minimal signal level, in accordance with some embodiments of the present invention, the estimated noise level may be directly set to this minimal signal level as it is larger than the level smoothed with the low variable smoothing factor as discussed in the above. As such, the operation of the
block 307 may comprising: smoothing the noise signal with the variable smoothing factor; and selecting the maximum of a smoothed signal level of the smoothed noise signal and the minimal signal level as the current estimated level of the noise signal. In some examples, Equation (13) may be modified as:
where
X min,
dB (
f,t) represents the determined minimal signal level in log domain. According to Equation (14), the current estimated noise level may be brought up if the minimal signal level
X min,
dB (
f,t) is determined as the lowest level at the stage the noise floor level has increased and remains stationary.
-
The length of the second time window may be predetermined, for example, as 2 seconds, and the scope of the present invention is not limited in this regard.
-
As can be seen from the working mechanism of the block of minimum tracking 309, the length of the second time window may impact the time the minimal signal level taken to be determined as the lowest level at the stationary stage of the noise floor. The lowest level at the stationary stage may be tracked quickly if a smaller time window is used. As such, in accordance with some embodiments of the present invention, the second time window may be adaptively narrowed down as the noise floor is becoming stable.
-
In these embodiments, a degree of stability of the noise signal may be determined; and the second time window may be narrowed down when the degree of stability is lower than a predetermined stability threshold and the impulse establishment time is lower than the predetermined time threshold, such that the minimal signal level of the noise signal within the narrowed second time window is larger than the smoothed signal level.
-
The degree of stability may be used to measure how stable the noise signal is, as the noise floor may trend to be stationary at last. Moreover, only the degree of stability may not be enough to decide that the second time window should be narrowed down as the impulsive noise may also go down to a stable level. Therefore, the impulse establishment time T imp (f,t) may be used to limit that if the noise signal becomes stationary at early stage, there is a tendency that the onset may be actually caused by a noise floor increase. Under this condition, the second time window is desired to be narrowed down so as to bring the estimated noise level instantly as shown in Equation (14).
-
For example, the second time window
W(
f,t) may be determined as follows:
where
WS represents the narrowed time window, which may have a value of 1 second for example;
WL represents the long time window before being narrowed down, which may have a value of 2 seconds for example; and
Stab. represents the degree of stability and
St represents the stability threshold.
-
In accordance with some other embodiments, the degree of stability is measured by a variance or standard deviation of the noise signal within a predetermined measurement time window. Additionally or alternatively, many other parameters may be used to measure the degree of stability, for example, the probability of the noise floor increase, which may be equal to 1 minus the impulsive noise probability. The scope of the present invention is not limited in this regard.
-
It should also be noted that the shorter second time window may always be used by the block of minimum tracking 309 to track the minimal signal level. That is, the second time window may not necessarily to be changed but remain short enough so as to enable the estimated level being brought up quickly when needed.
The block of standard deviation calculation 308
-
In accordance with some embodiments of the present invention, the standard deviation of the noise signal may be used to measure the degree of stability of the noise signal, and this block 308 may be used to calculate the standard deviation. It should be noted that if other parameters are additionally or alternatively required to measure the degree of stability, this block 308 may be replaced or other blocks may be added.
-
In some examples, the standard deviation may be calculated as follows:
where Equation (16) calculates the standard deviation of the slow smoothed noise signal
X sm2(
f,t) within a time window of
mΔ
t, and in other examples, the standard deviation of the fast smoothed noise signal
X sm1(
f,t) or the raw noise signal
X(
f, t) may be calculated. Equation (17) is used to smooth the standard deviation of Equation (16) in log domain, and
αS is the smoothing factor that is between 0 and 1. Equation (18) normalizes the smoothed standard deviation so that
Std(
f,t) is all above zero and is irrelevant with the magnitude of
X sm2(
f,
t), which makes it easier to set a threshold for judging how stationary the noise signal is. In other words,
Std(
f,t) is the standard deviation of "smoothed standard deviation of
X sm2(
f,t) in log domain within a time window of
nΔ
t." In some examples, the value of
mΔ
t may be 0.5 second and the value of
nΔ
t may be 0.8 seconds. The scope of the present invention is not limited in this regard.
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The processing of noise level estimation has been described in details with reference to Figures 2-4 in the above. Reference is now made to Figure 5(a), which shows the comparison of the estimated noise level in accordance with an existing method and an example embodiment of the present invention. Figure 5(b)-(d) illustrates graphs of the parameters used in the example embodiment of Figure 5(a).
-
As can be seen from Figure 5(a), the noise signal includes an abrupt level changed from 0 dB to around 30 dB at around 1.8 seconds, a door slam at around 7.6 seconds, and four quick knocks in series on the door from 16.1 seconds to 17.1 seconds. The door slam and four knocks may be regarded as impulsive noises. In Figure 5(a), it shows the estimated noise level tracked by an existing method. The idea of this method is that when onset is detected, no matter the onset is caused by an increase of noise floor or an impulsive noise (these two types of noise signal cannot be distinguished in the existing method), the estimated noise level will track the actual signal level of the noise signal. This results the estimated noise level following the increase of the impulsive noise as illustrated in Figure 5(a), which is not desired for the later audio processing. However, the estimated noise level in the present invention, as illustrated in Figure 5(a), follows the increase of noise floor and resist the short-period impulsive noises (door slam or quick knocks), which is more robust.
-
Figure 6 shows a block diagram of a system 600 for noise level estimation in accordance with one example embodiment of the present invention is shown. As shown, the system 600 comprises an impulsive noise probability calculation unit 601 configured to calculate an impulsive noise probability of a noise signal responsive to an increase of a signal level of the noise signal, the impulsive noise probability indicating a likelihood that the noise signal is an impulsive noise. The system 600 also comprises a smoothing factor determination unit 602 configured to determine a variable smoothing factor for noise level estimation based on the impulsive noise probability, the variable smoothing factor being associated with a previous estimated level of the noise signal. The system 600 further comprises a noise level estimation unit 603 configured to smooth the noise signal with the variable smoothing factor so as to determine a current estimated level of the noise signal.
-
In some embodiments, the noise signal may be a signal in one of a plurality of frequency bands of a noise input signal, or is a broadband signal of the noise input signal. In these embodiments, if the calculated impulsive noise probability for at least one frequency band of the noise input signal is higher than a confidence threshold, the impulsive noise probabilities for the remaining frequency bands may be increased.
-
In some embodiments, the system 600 may further comprise an onset probability determination unit, configured to determine an onset probability of the noise signal, the onset probability indicating a likelihood of the increase of the signal level. In these embodiments, the impulsive noise probability calculation unit 601 may comprise an initial value setting unit, configured to set an initial value of the impulsive noise probability as the onset probability when the onset probability is higher than a first predetermined probability threshold and a decay determination unit, configured to determine whether the noise signal has a decay trend, wherein the impulsive noise probability calculation unit 601 may further configured to calculate the impulsive noise probability of the noise signal based on whether the noise signal has the decay trend.
-
Furthermore, in some embodiments, the decay determination unit may be further configured to perform at least one of: determine whether the noise signal has the decay trend based on a distance between the signal level of the noise signal and a maximal signal level of the noise signal within a first time window; or determine whether the noise signal has the decay trend based on a slope of the noise signal over time.
-
In addition, in some embodiments, the impulsive noise probability calculation unit 601 may be further configured to increase the impulsive noise probability at a first rate when the noise signal has the decay trend; and decrease the impulsive noise probability at a second rate when the noise signal has no decay trend.
-
Further, in some embodiments, the system 600 may further comprise a maximum decreasing unit, configured to decrease the maximal signal level when the onset probability is lower than a second predetermined probability threshold and a distance between the current estimated level of the noise signal and the signal level of the noise signal is lower than a predetermined distance threshold.
-
Further, in some embodiments, the system 600 may further comprise an impulse establishment time recording unit, configured to record an impulse establishment time when beginning to calculate the impulsive noise probability, wherein the impulse establishment time recording unit may be further configured to set the impulse establishment time to zero when the onset probability is higher than the first predetermined threshold.
-
In some embodiments, the smoothing factor determination unit 602 may be further configured to determine the variable smoothing factor based on a reference smoothing factor and a maximum of the impulsive noise probability and the onset probability, when the impulse establishment time is lower than a predetermined time threshold; and determine the variable smoothing factor based on the reference smoothing factor and the impulsive noise probability, when the impulse establishment time is higher than or equal to the predetermined time threshold. In these embodiments, when determining the variable smoothing factor, the variable smoothing factor is a decreasing function of the impulsive noise probability over time.
-
In some embodiments, the noise level estimation unit 603 may be further configured to smooth the noise signal with the variable smoothing factor; and determine a smoothed signal level of the smoothed noise signal as the current estimated level of the noise signal.
-
Further, in some embodiments, the system 600 may further comprise a minimum determination unit, configured to determine a minimal signal level of the noise signal within a second time window. In these embodiments, the noise level estimation unit 603 may be further configured to smooth the noise signal with the variable smoothing factor; and select a maximum of a smoothed signal level of the smoothed noise signal and the minimal signal level as the current estimated level of the noise signal.
-
Further, in some embodiments, the system 600 may further comprise a stability degree determination unit, configured to determine a degree of stability of the noise signal; and a time window narrowing unit, configured to narrow down the second time window when the degree of stability is lower than a predetermined stability threshold and the impulse establishment time is lower than the predetermined time threshold, such that the minimal signal level of the noise signal within the narrowed second time window is larger than the smoothed signal level.
-
In some embodiments, the degree of stability may be measured by a variance or standard deviation of the noise signal within a predetermined measurement time window.
-
For the sake of clarity, some optional components of the system 600 are not shown in Figure 6. However, it should be appreciated that the features as described above with reference to Figures 2-5 are all applicable to the system 600. Moreover, the components of the system 600 may be a hardware module or a software unit module. For example, in some embodiments, the system 600 may be implemented partially or completely with software and/or firmware, for example, implemented as a computer program product embodied in a computer readable medium. Alternatively or additionally, the system 600 may be implemented partially or completely based on hardware, for example, as an integrated circuit (IC), an application-specific integrated circuit (ASIC), a system on chip (SOC), a field programmable gate array (FPGA), and so forth. The scope of the present invention is not limited in this regard.
-
Figure 7 shows a block diagram of an example computer system 700 suitable for implementing embodiments of the present invention. As shown, the computer system 700 comprises a central processing unit (CPU) 701 which is capable of performing various processes in accordance with a program stored in a read only memory (ROM) 702 or a program loaded from a storage section 708 to a random access memory (RAM) 703. In the RAM 703, data required when the CPU 701 performs the various processes or the like is also stored as required. The CPU 701, the ROM 702 and the RAM 703 are connected to one another via a bus 704. An input/output (I/O) interface 705 is also connected to the bus 704.
-
The following components are connected to the I/O interface 705: an input section 706 including a keyboard, a mouse, or the like; an output section 707 including a display such as a cathode ray tube (CRT), a liquid crystal display (LCD), or the like, and a loudspeaker or the like; the storage section 708 including a hard disk or the like; and a communication section 709 including a network interface card such as a LAN card, a modem, or the like. The communication section 709 performs a communication process via the network such as the internet. A drive 710 is also connected to the I/O interface 705 as required. A removable medium 711, such as a magnetic disk, an optical disk, a magneto-optical disk, a semiconductor memory, or the like, is mounted on the drive 710 as required, so that a computer program read therefrom is installed into the storage section 708 as required.
-
Specifically, in accordance with embodiments of the present invention, the processes described above with reference to Figures 2-6 may be implemented as computer software programs. For example, embodiments of the present invention comprise a computer program product including a computer program tangibly embodied on a machine readable medium, the computer program including program code for performing methods 200. In such embodiments, the computer program may be downloaded and mounted from the network via the communication section 709, and/or installed from the removable medium 711.
-
Generally speaking, various example embodiments of the present invention may be implemented in hardware or special purpose circuits, software, logic or any combination thereof. Some aspects may be implemented in hardware, while other aspects may be implemented in firmware or software which may be executed by a controller, microprocessor or other computing device. While various aspects of the example embodiments of the present invention are illustrated and described as block diagrams, flowcharts, or using some other pictorial representation, it will be appreciated that the blocks, apparatus, systems, techniques or methods described herein may be implemented in, as non-limiting examples, hardware, software, firmware, special purpose circuits or logic, general purpose hardware or controller or other computing devices, or some combination thereof.
-
Additionally, various blocks shown in the flowcharts may be viewed as method steps, and/or as operations that result from operation of computer program code, and/or as a plurality of coupled logic circuit elements constructed to carry out the associated function(s). For example, embodiments of the present invention include a computer program product comprising a computer program tangibly embodied on a machine readable medium, the computer program containing program codes configured to carry out the methods as described above.
-
In the context of the disclosure, a machine readable medium may be any tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device. The machine readable medium may be a machine readable signal medium or a machine readable storage medium. A machine readable medium may include but not limited to an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any suitable combination of the foregoing. More specific examples of the machine readable storage medium would include an electrical connection having one or more wires, a portable computer diskette, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or Flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.
-
Computer program code for carrying out methods of the present invention may be written in any combination of one or more programming languages. These computer program codes may be provided to a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus, such that the program codes, when executed by the processor of the computer or other programmable data processing apparatus, cause the functions/operations specified in the flowcharts and/or block diagrams to be implemented. The program code may execute entirely on a computer, partly on the computer, as a stand-alone software package, partly on the computer and partly on a remote computer or entirely on the remote computer or server.
-
Further, while operations are depicted in a particular order, this should not be understood as requiring that such operations be performed in the particular order shown or in sequential order, or that all illustrated operations be performed, to achieve desirable results. In certain circumstances, multitasking and parallel processing may be advantageous. Likewise, while several specific implementation details are contained in the above discussions, these should not be construed as limitations on the scope of any invention or of what may be claimed, but rather as descriptions of features that may be specific to particular embodiments of particular inventions. Certain features that are described in this specification in the context of separate embodiments can also be implemented in combination in a single embodiment. Conversely, various features that are described in the context of a single embodiment can also be implemented in multiple embodiments separately or in any suitable sub-combination.
-
Various modifications, adaptations to the foregoing example embodiments of this invention may become apparent to those skilled in the relevant arts in view of the foregoing description, when read in conjunction with the accompanying drawings. Any and all modifications will still fall within the scope of the non-limiting and example embodiments of this invention. Furthermore, other embodiments of the inventions set forth herein will come to mind to one skilled in the art to which these embodiments of the invention pertain having the benefit of the teachings presented in the foregoing descriptions and the drawings.
-
Accordingly, the present invention may be embodied in any of the forms described herein. For example, the following enumerated example embodiments (EEEs) describe some structures, features, and functionalities of some aspects of the present invention.
-
EEE 1. A method for estimating non-stationary noise levels, which includes:
- a. an estimator of impulsive noise probability;
- b. an adaptive smoother with impulsive noise probability controlled time constants; and
- c. a method to speed up the tracking when the onset is not caused by an impulse but an abrupt noise floor increase.
-
EEE 2. The estimator according to EEE 1, wherein the impulsive noise probability is estimated using:
- a. onset probability; and
- b. decaying nature of impulsive noise after the quick onset.
-
EEE 3. The smoothing method according to EEE 2, wherein the decaying nature of the impulsive noise is measured by the distance between the instantaneous or smoothed noise level and the noise level output from a maximum tracker.
-
EEE 4. The smoothing method according to EEE 2, wherein the decaying nature of the impulsive noise is measured by calculating the slope (gradient) or smoothed slope of magnitude over time.
-
EEE 5. The method according to EEE 1, wherein features are extracted to judge the likelihood of an abrupt increase of noise floor.
-
EEE 6. The method according to EEE 4, including variance or standard deviation of magnitude over time.
-
EEE 7. The method according to EEE 1, wherein the tracking speeds up by using minimum tracker.
-
EEE 8. The method according to EEE 1, wherein the tracking speeds up by remembering one or a few previous estimation levels from quick smoothers.
-
EEE 9. The method according to EEE 7, wherein the length of the minimum tracking window is controlled by judging the likelihood of an abrupt increase of noise floor.
-
EEE 10. A system for noise level estimation, comprising:
- an impulsive noise probability calculation unit, configured to calculate an impulsive noise probability of a noise signal responsive to an increase of a signal level of the noise signal, the impulsive noise probability indicating a likelihood that the noise signal is an impulsive noise;
- a smoothing factor determination unit, configured to determine a variable smoothing factor for noise level estimation based on the impulsive noise probability, the variable smoothing factor being associated with a previous estimated level of the noise signal; and
- a noise level estimation unit, configured to smooth the noise signal with the variable smoothing factor so as to determine a current estimated level of the noise signal.
-
EEE 11. The system according to EEE 10, wherein the noise signal is a signal in one of a plurality of frequency bands of a noise input signal, or is a broadband signal of the noise input signal;
wherein if the calculated impulsive noise probability for at least one frequency band of the noise input signal is higher than a confidence threshold, the impulsive noise probabilities for the remaining frequency bands are increased.
-
EEE 12. The system according to EEE 10 or EEE 11, further comprising:
- an onset probability determination unit, configured to determine an onset probability of the noise signal, the onset probability indicating a likelihood of the increase of the signal level.
-
EEE 13. The system according to EEE 12, wherein the impulsive noise probability calculation unit comprising:
- an initial value setting unit, configured to set an initial value of the impulsive noise probability as the onset probability when the onset probability is higher than a first predetermined probability threshold; and
- a decay determination unit, configured to determine whether the noise signal has a decay trend,
- wherein the impulsive noise probability calculation unit is further configured to calculate the impulsive noise probability of the noise signal based on whether the noise signal has the decay trend.
-
EEE 14. The system according to EEE 13, wherein the decay determination unit is further configured to perform at least one of:
- determine whether the noise signal has the decay trend based on a distance between the signal level of the noise signal and a maximal signal level of the noise signal within a first time window; or
- determine whether the noise signal has the decay trend based on a slope of the noise signal over time.
-
EEE 15. The system according to EEE 13 or EEE 14, wherein the impulsive noise probability calculation unit is further configured to:
- increase the impulsive noise probability at a first rate when the noise signal has the decay trend; and
- decrease the impulsive noise probability at a second rate when the noise signal has no decay trend.
-
EEE 16. The system according to EEE 14, further comprising:
- a maximum decreasing unit, configured to decrease the maximal signal level when the onset probability is lower than a second predetermined probability threshold and a distance between the current estimated level of the noise signal and the signal level of the noise signal is lower than a predetermined distance threshold.
-
EEE 17. The system according to any of EEEs 10to 16, further comprising:
- an impulse establishment time recording unit, configured to record an impulse establishment time when beginning to calculate the impulsive noise probability,
- wherein the impulse establishment time recording unit is further configured to set the impulse establishment time to zero when the onset probability is higher than the first predetermined threshold.
-
EEE 18. The system according to EEE 17, wherein the smoothing factor determination unit is further configured to:
- determine the variable smoothing factor based on a reference smoothing factor and a maximum of the impulsive noise probability and the onset probability, when the impulse establishment time is lower than a predetermined time threshold; and
- determine the variable smoothing factor based on the reference smoothing factor and the impulsive noise probability, when the impulse establishment time is higher than or equal to the predetermined time threshold,
- wherein when determining the variable smoothing factor, the variable smoothing factor is a decreasing function of the impulsive noise probability over time.
-
EEE 19. The system according to any of EEEs 10 to 18, wherein the noise level estimation unit is further configured to:
- smooth the noise signal with the variable smoothing factor; and
- determine a smoothed signal level of the smoothed noise signal as the current estimated level of the noise signal.
-
EEE 20. The system according to any of EEEs 10 to 18, further comprising:
- a minimum determination unit, configured to determine a minimal signal level of the noise signal within a second time window,
- wherein the noise level estimation unit is further configured to:
- smooth the noise signal with the variable smoothing factor; and
- select a maximum of a smoothed signal level of the smoothed noise signal and the minimal signal level as the current estimated level of the noise signal.
-
EEE 21. The system according to EEE 20, further comprising:
- a stability degree determination unit, configured to determine a degree of stability of the noise signal; and
- a time window narrowing unit, configured to narrow down the second time window when the degree of stability is lower than a predetermined stability threshold and the impulse establishment time is lower than the predetermined time threshold, such that the minimal signal level of the noise signal within the narrowed second time window is larger than the smoothed signal level.
-
EEE 22. The system according to EEE 21, wherein the degree of stability is measured by a variance or standard deviation of the noise signal within a predetermined measurement time window.
-
It will be appreciated that the embodiments of the invention are not to be limited to the specific embodiments disclosed and that modifications and other embodiments are intended to be included within the scope of the appended claims. Although specific terms are used herein, they are used in a generic and descriptive sense only and not for purposes of limitation.