WO2009005199A1 - Method of receiving orthogonal frequency division multiplexing signal and orthogonal frequency division multiplexing signal receiving device of enabling the method - Google Patents

Method of receiving orthogonal frequency division multiplexing signal and orthogonal frequency division multiplexing signal receiving device of enabling the method Download PDF

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Publication number
WO2009005199A1
WO2009005199A1 PCT/KR2008/000003 KR2008000003W WO2009005199A1 WO 2009005199 A1 WO2009005199 A1 WO 2009005199A1 KR 2008000003 W KR2008000003 W KR 2008000003W WO 2009005199 A1 WO2009005199 A1 WO 2009005199A1
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Prior art keywords
parameter
channel response
channel
response
receiving
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French (fr)
Inventor
Jiho Kim
Yunho Jung
Jaeseok Kim
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Industry Academic Cooperation Foundation of Yonsei University
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Industry Academic Cooperation Foundation of Yonsei University
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Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2655Synchronisation arrangements
    • H04L27/2657Carrier synchronisation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0212Channel estimation of impulse response
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0224Channel estimation using sounding signals
    • H04L25/0228Channel estimation using sounding signals with direct estimation from sounding signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2655Synchronisation arrangements
    • H04L27/2662Symbol synchronisation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/32Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/38Demodulator circuits; Receiver circuits
    • H04L27/3845Demodulator circuits; Receiver circuits using non - coherent demodulation, i.e. not using a phase synchronous carrier
    • H04L27/3854Demodulator circuits; Receiver circuits using non - coherent demodulation, i.e. not using a phase synchronous carrier using a non - coherent carrier, including systems with baseband correction for phase or frequency offset
    • H04L27/3863Compensation for quadrature error in the received signal
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/0001Arrangements for dividing the transmission path
    • H04L5/0003Two-dimensional division
    • H04L5/0005Time-frequency
    • H04L5/0007Time-frequency the frequencies being orthogonal, e.g. OFDM(A) or DMT

Definitions

  • the present invention relates to an apparatus and method for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal, and more particularly, to an apparatus and method for receiving an OFDM signal that calculates an In- phase/Quadrature (I/Q) parameter to thereby correct a channel response.
  • OFDM Orthogonal Frequency Division Multiplexing
  • OFDM Orthogonal Frequency Division Multiplexing
  • an ideal OFDM system generates a phase difference of 90 degrees between I channel and Q channel using a local oscillator.
  • the phase difference is not precisely 90 degrees, the phase error is generated.
  • each volume of I channel and Q channel signals has to be identical to each other, however, each volume differs due to the gain error.
  • an apparatus and method for receiving an OFDM signal that effectively estimates the I/Q mismatch, and corrects the estimated I/Q mismatch.
  • An aspect of the present invention provides an apparatus and method for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal that calculates an I/Q parameter based on a timing synchronization error of the channel response, whereby communication is performed more effectively.
  • An aspect of the present invention provides an apparatus and method for receiving an OFDM signal that calculates an I/Q parameter considering a carrier frequency offset, whereby data is transmitted/received more effectively.
  • OFDM Orthogonal Frequency Division Multiplexing
  • An aspect of the present invention provides an apparatus and method for receiving an OFDM signal that calculates an I/Q parameter using a complex conjugate pair of a channel frequency response, whereby communication is performed more accurately.
  • An aspect of the present invention provides an apparatus and method for receiving an OFDM signal that corrects an I/Q mismatch more accurately to transmit/receive data, whereby data is transmitted/received in a high speed.
  • an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal which includes: a channel response estimating unit for receiving a frequency domain signal to estimate a channel response; an In-phase/Quadrature (I/Q) parameter calculating unit for calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response; and a channel response correcting unit for correcting the channel response using the I/Q parameter.
  • OFDM Orthogonal Frequency Division Multiplexing
  • a method for receiving an OFDM signal which includes: receiving a frequency domain signal to estimate a channel response; calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response; and correcting the channel response using the I/Q parameter.
  • FIG. 1 is a block diagram illustrating an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal according to an exemplary embodiment of the present invention
  • FIG. 2 is a block diagram illustrating an example for correcting a channel response according to an exemplary embodiment of the present invention
  • FIG. 3 illustrates a phase of a complex conjugate pair of a channel frequency response according to an exemplary embodiment of the present invention.
  • FIG. 4 is a flowchart illustrating a method for receiving an OFDM signal according to an exemplary embodiment of the present invention.
  • FIG. 1 is a block diagram illustrating an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal according to an exemplary embodiment of the present invention.
  • OFDM Orthogonal Frequency Division Multiplexing
  • the apparatus for receiving an OFDM signal includes a channel response estimating unit 100, an In-phase/Quadrature (I/Q) parameter calculating unit 110, and a channel response correcting unit 120.
  • the channel response estimating unit 100 receives a frequency domain signal and estimates a channel response.
  • the frequency domain signal may be generated such that a carrier frequency offset is corrected.
  • the apparatus for receiving the OFDM signal may further include a Fast Fourier Transformer for transforming a received time domain signal into the frequency domain signal.
  • the channel response estimating unit 100 may estimate the channel response through a Least Square (LS) scheme, a Linear Minimum Mean Square Error (LMMSE) scheme, or the like, using a training symbol.
  • LS Least Square
  • LMMSE Linear Minimum Mean Square Error
  • various channel estimation schemes may be used. For example, a scheme for estimating a channel using a training symbol or a pilot signal, a scheme for estimating a blind channel without using the pilot signal, and the like may be used.
  • a channel estimating scheme using the training symbol the LS scheme and the LMMSE scheme may be designated.
  • IEEE 802.11a that is, a specification for an OFDM based-public
  • a packet includes two long training symbols.
  • the training symbol includes a short training symbol and a long training symbol.
  • the long training symbol is used by performing an inverse Fast Fourier Transformation with a predetermined sequence.
  • the I/Q parameter calculating unit 110 calculates an I/Q parameter of the channel response considering a timing synchronization error of the channel response.
  • the I/Q parameter calculating unit 110 may calculate the I/Q parameter according to an I/Q parameter calculation criterion generated by using a complex conjugate pair of a channel frequency response associated with the channel response.
  • the I/Q parameter calculating unit 110 may calculate the I/Q parameter according to an I/Q parameter calculation criterion generated by using at least two complex conjugate pairs.
  • the channel response correcting unit 120 corrects the channel response using the I/Q parameter.
  • FIG. 2 is a block diagram illustrating an example for correcting a channel response according to an exemplary embodiment of the present invention.
  • a mixer 210 multiplies two signals by x At) , respectively, which is represented by
  • a received baseband signal may be represented by
  • a received complex baseband signal may be represented by [Equation 4]
  • rx denotes a received time domain signal
  • Equation 4 When Equation 4 is arranged by utilizing Equation 3, rx ma y be represented by
  • X 1x where denotes a transmission signal transmitted by the transmission end.
  • rx of a received signal may be acquired by adding the
  • each of a and " d e notes an I/Q parameter according to the I/Q mismatch.
  • rx is converted into a digital signal
  • the digital signal may be expressed as ' .
  • the received baseband signal may be expressed as ⁇ . Also, the carrier frequency offset
  • r c ⁇ fo of a sampled baseband time domain signal may be represented by [Equation 6]
  • denotes the received baseband signal
  • r c c ⁇ fo° denotes a signal
  • J ⁇ including the carrier frequency offset denotes a carrier
  • N denotes a number of subcarriers
  • n denotes a sampled time index
  • a frequency offset correcting unit 230 estimates of the
  • ' V of a signal generated such that ⁇ of the carrier frequency offset is corrected may be represented by
  • may be represented by
  • D denotes a length of the training symbol.
  • D may be '16' that is a length of the short training symbol, or '64' that is a length of the long training symbol.
  • both of the carrier frequency offset and the I/Q mismatch are preferably considered.
  • Equation 5 1 ⁇ " of the received baseband signal based on the carrier frequency offset and the I/Q mismatch is acquired by utilizing Equations 5 and 6, which may be represented by
  • Equation 10 may be represented by
  • the frequency offset correcting unit 230 corrects
  • each of Serial to Parallel (S/P) converters 241 and 242 transmits, to
  • each of the Fourier transformers 251 and 252 transforms the received time domain signal into a frequency domain signal. Specifically, each of the Fourier
  • each of channel response estimating units 261 and 262 receives the frequency domain signal to estimate a channel response.
  • each of the channel response estimating units 261 and 262 may estimate the channel response through any one of the LS scheme, LMMSE scheme, and the like using the training symbol.
  • Equation 11 * " of a signal generated such that an I/Q mismatch effect is corrected is acquired by utilizing Equation 11 , which may be represented by [Equation 12]
  • the I/Q parameter ⁇ a and " may be estimated using 1 and
  • each of the channel response estimating units 261 and 262 may estimate the channel response
  • Equation 15 shows the received baseband signal including the I/Q mismatch based on the carrier frequency offset and the timing synchronization error.
  • Equation 16 may be acquired by
  • each of * and 2 denotes a signal generated by correcting
  • the channel response estimating units 261 and 262 may estimate the channel response through the LS scheme, and the estimated channel response may be represented by
  • each of the channel response estimating units 261 and 262 estimates the channel response by
  • Equation 17 including ' , ' , r, Its, and the like.
  • a I/Q parameter calculating unit 270 calculates the I/Q parameter of the channel response based on the timing synchronization error of the channel response.
  • c k based on the timing synchronization error of the channel response
  • the similarity of the channel frequency response between neighboring subcarriers is less than that of the case where the timing synchronization error does not exist.
  • the phase rotation value due to the timing synchronization error varies according to characteristics of Fourier transformation in such a manner to have a number of cycles equivalent to the number of subcarriers (N) of the OFDM symbol. Also, a channel frequency response of a k-th subcarrier and a channel frequency response of an (N-k)-th subcarrier are a complex conjugate pair.
  • FIG. 3 illustrates a phase of a complex conjugate pair of a channel frequency response according to an exemplary embodiment of the present invention.
  • subcarrier has a phase rotation value of .
  • the channel frequency response of the k-th subcarrier and the channel frequency response of the (N-k)-th subcarrier are a complex conjugate pair.
  • the complex conjugate pair of the channel frequency response has phase values having signs opposite from each other while having sizes different from each other.
  • the I/Q parameter calculating unit 270 may calculate the I/Q parameter using the complex conjugate pair of the channel frequency response associated with the channel response. Specifically, the I/Q parameter calculating unit
  • 270 may calculate the I/Q parameter using characteristics of the phase (value) of the complex conjugate pair of the channel frequency response.
  • a n offset of the phase rotation value is performed by multiplying the channel frequency response of the k-th subcarrier by the channel frequency response of the (N-k)-th subcarrier, which is represented by
  • the I/Q mismatch is a cause for reducing the similarity existing between the product of the complex conjugate pair and the product of the other complex conjugate pair in the channel frequency response T hus, correcting effects of the I/Q mismatch corresponds to ensuring the similarity between the product of the complex conjugate pair and the product of the other complex conjugate pair in the channel frequency response.
  • to correct the I/Q mismatch effect is to calculate an I/Q parameter for minimizing MSE of Equation 20.
  • the I/Q parameter calculating unit 270 may calculate the I/Q parameter according to the I/Q parameter calculation criterion such as Equation 20 generated using the complex conjugate pair of the channel frequency response.
  • Equation 18 may be expressed by utilizing Equation 18, and may be substituted for
  • Equation 20 so that a and " for minimizing MSE of Equation 20 can be calculated.
  • ⁇ and " may be calculated by an iteration scheme, or a differential scheme.
  • a channel response correcting unit 280 corrects a channel response using the calculated I/Q parameter. Referring again to Equation 18, the calculated a and
  • H B ma y be substituted for Equation 18, and accordingly, C k of the channel frequency response generated such that the I/Q mismatch is corrected may be acquired based on the timing synchronization error.
  • the apparatus for receiving the OFDM signal may include a data symbol correcting unit for correcting a received data symbol using the calculated I/Q parameter.
  • the I/Q mismatch may affect the data symbol as well as the training symbol.
  • the data symbol correcting unit may correct the data symbol subsequently received after the training symbol based on the calculated I/Q parameter.
  • a principle in which the channel response correcting corrects the channel response may be directly applicable to a process where the data symbol correcting unit corrects the data symbol.
  • F IG. 4 is a flowchart illustrating a method for receiving an OFDM signal according to an exemplary embodiment of the present invention.
  • the method for receiving the OFDM signal according to the present exemplary embodiment receives a frequency domain signal to estimate a channel response.
  • operation S410 may estimate the channel response through any one of the LS scheme and the LMMSE scheme using the training symbol.
  • the frequency domain signal may be generated such that the carrier frequency offset is corrected.
  • the method for receiving the OFDM signal calculates the I/Q parameter of the channel response based on the timing synchronization error of the channel response.
  • operation S420 may calculate the I/Q parameter according to the I/Q parameter calculation criterion generated by using at least two complex conjugate pairs.
  • operation S420 may calculate the I/Q parameter according to the I/Q parameter calculation criterion generated by
  • A denotes a channel frequency response corresponding to a k-th subcarrier.
  • operation S420 may calculate the I/Q parameter where an operation result of Equation 1 is minimized.
  • the method for receiving the OFDM signal according to the present exemplary embodiment corrects the channel response using the calculated I/Q parameter.
  • the method for receiving the OFDM signal may further include transforming a received time domain signal into the frequency domain signal using a Fourier transform scheme.
  • the method for receiving the OFDM signal according to the present exemplary embodiment may further include correcting a received data symbol using the calculated I/Q parameter.
  • the method for receiving the OFDM signal according to the above-described exemplary embodiments of the present invention may be recorded in computer-readable media including program instructions to implement various operations embodied by a computer.
  • the media may also include, alone or in combination with the program instructions, data files, data structures, and the like.
  • the media and program instructions may be those specially designed and constructed for the purposes of the present invention, or they may be of the kind well-known and available to those having skill in the computer software arts.
  • Examples of computer-readable media include magnetic media such as hard disks, floppy disks, and magnetic tape; optical media such as CD ROM disks and DVD; magneto-optical media such as optical disks; and hardware devices that are specially configured to store and perform program instructions, such as read-only memory (ROM), random access memory (RAM), flash memory, and the like.
  • Examples of program instructions include both machine code, such as produced by a compiler, and files containing higher level code that may be executed by the computer using an interpreter.
  • the described hardware devices may be configured to act as one or more software modules in order to perform the operations of the above-described exemplary embodiments of the present invention. As described above, according to the present invention, an I/Q parameter is calculated based on a timing synchronization error of the channel response, whereby communication is performed more effectively.
  • an I/Q parameter is calculated considering a carrier frequency offset, whereby data is transmitted/received more effectively.
  • an I/Q parameter is calculated using a complex conjugate pair of a channel frequency response, whereby communication is performed more accurately.
  • an I/Q mismatch is corrected more accurately to transmit/receive data, whereby data is transmitted/received in a high speed.

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  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Power Engineering (AREA)
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Abstract

Disclosed is an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal. The apparatus includes a channel response estimating unit for receiving a frequency domain signal to estimate a channel response, an In- phase/Quadrature (IfQ) parameter calculating unit for calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response, and a channel response correcting unit for correcting the channel response using the I/Q parameter.

Description

METHOD OF RECEIVING ORTHOGONAL FREQUENCY DIVISION
MULTIPLEXING SIGNALAND ORTHOGONAL FREQUENCY DIVISION
MULTIPLEXING SIGNAL RECEIVING DEVICE OF ENABLING THE
METHOD
Technical Field
The present invention relates to an apparatus and method for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal, and more particularly, to an apparatus and method for receiving an OFDM signal that calculates an In- phase/Quadrature (I/Q) parameter to thereby correct a channel response.
Background Art
Currently, a number of users using a radio Internet are increasing dramatically. However, current radio Internet services do not provide a superior data rate and thus Internet services requiring high-speed data transmission such as multimedia services are not provided. At the same time, current users and service providers have a strong demand for technologies supporting Internet services with a reasonable price which are used regardless of time, place, and the like.
In this regard, various kinds of signal transmission schemes have been suggested. As an example of these, an Orthogonal Frequency Division Multiplexing (OFDM) scheme is representative. The OFDM scheme effectively uses a relatively broadened frequency band. A lso, the OFDM scheme transmits in parallel a plurality of carriers being orthogonal, and thus a frequency selective fading generated when data is transmitted at a high speed in a relatively broadened frequency band may be overcome.
Most communication systems using a phase or frequency modulation scheme divide signals into an In-phase (I) channel and a Quadrature (Q) channel using a quadrature down conversion scheme. In this instance, the I channel and Q channel are orthogonal to each other. However, a phase error and a gain error are generated between I channel and the Q channel due to imperfect elements and the like, and these errors denote an I/Q mismatch.
In general, an ideal OFDM system generates a phase difference of 90 degrees between I channel and Q channel using a local oscillator. When the phase difference is not precisely 90 degrees, the phase error is generated. Also, each volume of I channel and Q channel signals has to be identical to each other, however, each volume differs due to the gain error. In particular, there currently arises a need for a small-sized communication terminal with a relatively lower power consumption. Accordingly, a technology related with a direct-conversion receiver is urgently required, and the I/Q mismatch becomes a major cause adversely affecting an overall communication system in the direct-conversion receiver. Thus, there is a need for an apparatus and method for receiving an OFDM signal that effectively estimates the I/Q mismatch, and corrects the estimated I/Q mismatch.
Disclosure of Invention Technical Goals
An aspect of the present invention provides an apparatus and method for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal that calculates an I/Q parameter based on a timing synchronization error of the channel response, whereby communication is performed more effectively. An aspect of the present invention provides an apparatus and method for receiving an OFDM signal that calculates an I/Q parameter considering a carrier frequency offset, whereby data is transmitted/received more effectively.
An aspect of the present invention provides an apparatus and method for receiving an OFDM signal that calculates an I/Q parameter using a complex conjugate pair of a channel frequency response, whereby communication is performed more accurately.
An aspect of the present invention provides an apparatus and method for receiving an OFDM signal that corrects an I/Q mismatch more accurately to transmit/receive data, whereby data is transmitted/received in a high speed.
Technical solutions
According to an aspect of the present invention, there is provided an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal, which includes: a channel response estimating unit for receiving a frequency domain signal to estimate a channel response; an In-phase/Quadrature (I/Q) parameter calculating unit for calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response; and a channel response correcting unit for correcting the channel response using the I/Q parameter.
According to an aspect of the present invention, there is provided a method for receiving an OFDM signal, which includes: receiving a frequency domain signal to estimate a channel response; calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response; and correcting the channel response using the I/Q parameter.
Brief Description of Drawings
FIG. 1 is a block diagram illustrating an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal according to an exemplary embodiment of the present invention;
FIG. 2 is a block diagram illustrating an example for correcting a channel response according to an exemplary embodiment of the present invention;
FIG. 3 illustrates a phase of a complex conjugate pair of a channel frequency response according to an exemplary embodiment of the present invention; and
FIG. 4 is a flowchart illustrating a method for receiving an OFDM signal according to an exemplary embodiment of the present invention.
Best Mode for Carrying Out the Invention Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the like elements throughout. The embodiments are described below in order to explain the present invention by referring to the figures.
FIG. 1 is a block diagram illustrating an apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal according to an exemplary embodiment of the present invention.
Referring to FIG. 1, the apparatus for receiving an OFDM signal includes a channel response estimating unit 100, an In-phase/Quadrature (I/Q) parameter calculating unit 110, and a channel response correcting unit 120.
The channel response estimating unit 100 receives a frequency domain signal and estimates a channel response. In this instance, the frequency domain signal may be generated such that a carrier frequency offset is corrected.
Also, although not shown in FIG. 1, the apparatus for receiving the OFDM signal according to the present exemplary embodiment of the invention may further include a Fast Fourier Transformer for transforming a received time domain signal into the frequency domain signal. In this instance, the channel response estimating unit 100 may estimate the channel response through a Least Square (LS) scheme, a Linear Minimum Mean Square Error (LMMSE) scheme, or the like, using a training symbol.
In an OFDM communication system, various channel estimation schemes may be used. For example, a scheme for estimating a channel using a training symbol or a pilot signal, a scheme for estimating a blind channel without using the pilot signal, and the like may be used. Here, as examples for a channel estimating scheme using the training symbol, the LS scheme and the LMMSE scheme may be designated.
According to IEEE 802.11a, that is, a specification for an OFDM based-public
Wireless LAN (WLAN) service, a packet includes two long training symbols. The training symbol includes a short training symbol and a long training symbol. The long training symbol is used by performing an inverse Fast Fourier Transformation with a predetermined sequence.
Also, the I/Q parameter calculating unit 110 calculates an I/Q parameter of the channel response considering a timing synchronization error of the channel response. In this instance, the I/Q parameter calculating unit 110 may calculate the I/Q parameter according to an I/Q parameter calculation criterion generated by using a complex conjugate pair of a channel frequency response associated with the channel response.
In this instance, the I/Q parameter calculating unit 110 may calculate the I/Q parameter according to an I/Q parameter calculation criterion generated by using at least two complex conjugate pairs.
Also, the channel response correcting unit 120 corrects the channel response using the I/Q parameter.
FIG. 2 is a block diagram illustrating an example for correcting a channel response according to an exemplary embodiment of the present invention.
Referring to FIG. 2, of a time domain signal transmitted by a transmission end is represented by
[Equation 1] xix (i) = a(t) cos wci +b(t) sin wj where a(t) and b(t) respectively denote an I channel value and Q channel value
W of a baseband signal transmitted i bbyy tthhee ttrraannssmmiissssiioonn eenndd,, aanndd deno tes a frequency of a transmission signal.
A mixer 210 multiplies two signals by x At) , respectively, which is represented by
[Equation 2]
x LO i (0 = (1 + ε) c°s(( wc + Δwc )t + θ) , and
*LO,Q (0 = (1 - ε) sin(( wc + Aw c )t + θ)
where
Figure imgf000006_0001
denotes a carrier frequency offset.
When the signal obtained by multiplying the two signals of Equation 2 by xtt(t) passes through low pass filters 221 and 222, respectively, a received baseband signal may be represented by
[Equation 3] X BB i (0 = β(0(l + s) cos 0 ~b(t)(l + ε) sin θ , and xBB Q (t) = -α(Y)(l - s) sin θ + 6(0(1 - G) cos ^
When each of S and ^ is O', XBBΛ0 = "(β) ? and
A received complex baseband signal may be represented by [Equation 4]
where rx denotes a received time domain signal.
When Equation 4 is arranged by utilizing Equation 3, rx ma y be represented by
[Equation 5]
a - cosø + jεήn θ β = εcosθ-jmθ
X1x where denotes a transmission signal transmitted by the transmission end.
X Accordingly, rx of a received signal may be acquired by adding the
product of of the transmission signal and " , and the product of a conjugate
complex value of rx and β In this instance, each of a and " d enotes an I/Q parameter according to the I/Q mismatch.
JQ
Here, although not shown in FIG. 1, rx is converted into a digital signal
using an analog to digital converter, and the digital signal may be expressed as ' .
Hereinafter, when it is assumed that rx is converted into the digital signal, the
received baseband signal may be expressed as ^ . Also, the carrier frequency offset
between carriers of a transmitter and receiver may exist. rc ^fo of a sampled baseband time domain signal may be represented by [Equation 6]
r _ r . J27nlN
Φ — * V
where ^ denotes the received baseband signal, and rcc^fo° denotes a signal
J φ including the carrier frequency offset. In this instance, denotes a carrier
frequency offset normalized by a minimum interval (1/ T sc ) between subcarriers, N denotes a number of subcarriers, and n denotes a sampled time index.
J φ In this instance, a frequency offset correcting unit 230 estimates of the
carrier frequency offset, and corrects rc ^fo according to the estimated result. Specifically, ' V of a signal generated such that Φ of the carrier frequency offset is corrected may be represented by
[Equation 7]
r — r . f,-J2πέn/N r - rcfo V
In this instance, ε may be represented by
[Equation 8]
Figure imgf000009_0001
where D denotes a length of the training symbol. For example, in the case of a communication system according to IEEE 802.1 Ia, D may be '16' that is a length of the short training symbol, or '64' that is a length of the long training symbol. However,
even when ε of the carrier frequency offset is accurately calculated in the case where the VQ mismatch exists, a distortion is generated due to the interference between the subcarriers. Thus, both of the carrier frequency offset and the I/Q mismatch are preferably considered.
1^ " of the received baseband signal based on the carrier frequency offset and the I/Q mismatch is acquired by utilizing Equations 5 and 6, which may be represented by
[Equation 9]
Figure imgf000010_0001
When utilizing Equations 6 and 9, cJ°~l<2 of the received baseband signal based on the carrier frequency offset and the I/Q mismatch may be represented by
[Equation 10]
rcf0 ιa = a-r-ej2 'N+β-r* .eJ1*<*"N J q
In this instance, when it is assumed that the frequency offset correcting unit 230
/ T perfectly estimates of the carrier frequency offset to thereby correct cJ°~l$
using
Figure imgf000010_0002
, respectively, Equation 10 may be represented by
[Equation 11]
rλ == aa r + β .* -2J2jnlN
2j2ηfφnIN R * a r e ^J ^tfcfo1 + β-r and
* * -2j2rfcfon!N r2 =a r e f +β r
Referring to Equation 11, the frequency offset correcting unit 230 corrects
cJ°~lcL using
Figure imgf000010_0003
using
cfo y to thereb y generate 2 that is a complex conjugate value. Also, each of Serial to Parallel (S/P) converters 241 and 242 transmits, to
*
Fourier transformers 251 and 252, in parallel 1 and 2 generated such that the carrier frequency offset is corrected.
Also, each of the Fourier transformers 251 and 252 transforms the received time domain signal into a frequency domain signal. Specifically, each of the Fourier
transformers 251 and 252 transforms 1 and 2 into the frequency domain signal. Also, each of channel response estimating units 261 and 262 receives the frequency domain signal to estimate a channel response. In this instance, each of the channel response estimating units 261 and 262 may estimate the channel response through any one of the LS scheme, LMMSE scheme, and the like using the training symbol.
*" of a signal generated such that an I/Q mismatch effect is corrected is acquired by utilizing Equation 11 , which may be represented by [Equation 12]
-
Figure imgf000011_0001
Specifically, the I/Q parameter {a and ") may be estimated using 1 and
2 received during the long training symbol interval. In this instance, each of the channel response estimating units 261 and 262 may estimate the channel response
* through the LS scheme using 1 and 2 s which may be represented by [Equation 13] h, = FFT O1) Its
Figure imgf000012_0001
In this instance, Its denotes a value in a frequency domain of the long training
symbol, and h denotes the channel response. Here,
Figure imgf000012_0002
of the frequency response of the channel where the I/Q mismatch is corrected may be represented by [Equation 14]
Figure imgf000012_0003
1T
Hereinafter, the case where of the timing synchronization error exists will
be described with reference to FIG. 2. When of the timing synchronization error exists in the received signal, the time domain signal received during the length of the long training symbol is acquired by utilizing Equation 10, which may be represented by [Equation 15] "-τ) = cc-r(n-τyem'Λ"-')IN +β-r'(n-τ)-e-β*'»i"-τ)"'
Specifically, Equation 15 shows the received baseband signal including the I/Q mismatch based on the carrier frequency offset and the timing synchronization error.
Referring to Equation 11 , the following Equation 16 may be acquired by
*
T T utilizing Equation 15 using * and 2
[Equation 16]
r{ = a r(n -τ)
Figure imgf000012_0004
+β r (n-τ) e r2 =a -r (n-τ)-e f +p -r(n-τ)-e J
Y
In this instance, each of * and 2 denotes a signal generated by correcting
the carrier frequency offset using
Figure imgf000013_0001
in the case where the timing synchronization error exists.
In this instance, the channel response estimating units 261 and 262 may estimate the channel response through the LS scheme, and the estimated channel response may be represented by
[Equation 17]
Figure imgf000013_0002
= a-ck- ei2πikvf«°)τlN +lts- β- FFT[V" (n-τ)- e 2i2n'N ] ■ ej2^τlN
h2k=FFT{r2~)-lts
= FFT[a*-r\n-τ)-e-j2^Λ2"-τ)/N + β^r(n-τ)-e-J2^τ/N]-U^
= lts-a*- FFT[r\n - τ) ■ e^'2**"'"] ■ ej2ηf*τlN*-ck- e ~J2π(k+u )τlN
where denotes a channel frequency response. Specifically, each of the channel response estimating units 261 and 262 estimates the channel response by
utilizing Equation 17 including ' , ' , r, Its, and the like.
Also, a I/Q parameter calculating unit 270 calculates the I/Q parameter of the channel response based on the timing synchronization error of the channel response. When the channel frequency response generated such that the I/Q mismatch is corrected
based on the timing synchronization error of the channel response is ck , which may be represented by
[Equation 18]
R
Figure imgf000014_0001
eferring to the left side of Equation 18, the product of and e-j 2π(k+fφ )τ/N of a phase rotation (value) is shown. The phase rotation
value due to the timing synchronization error increases according to a subcarrier index (k) of an OFDM symbol. Thus, the similarity of the channel frequency response between neighboring subcarriers is less than that of the case where the timing synchronization error does not exist.
The phase rotation value due to the timing synchronization error varies according to characteristics of Fourier transformation in such a manner to have a number of cycles equivalent to the number of subcarriers (N) of the OFDM symbol. Also, a channel frequency response of a k-th subcarrier and a channel frequency response of an (N-k)-th subcarrier are a complex conjugate pair.
FIG. 3 illustrates a phase of a complex conjugate pair of a channel frequency response according to an exemplary embodiment of the present invention. Referring to FIG. 3, the channel frequency response of the (N-k)-th subcarrier
has a phase rotation value of " κ . Also, the channel frequency response of the k-th
subcarrier has a phase rotation value of .
Accordingly, the channel frequency response of the k-th subcarrier and the channel frequency response of the (N-k)-th subcarrier are a complex conjugate pair. Specifically, the complex conjugate pair of the channel frequency response has phase values having signs opposite from each other while having sizes different from each other.
Referring again to FIG. 2, the I/Q parameter calculating unit 270 may calculate the I/Q parameter using the complex conjugate pair of the channel frequency response associated with the channel response. Specifically, the I/Q parameter calculating unit
270 may calculate the I/Q parameter using characteristics of the phase (value) of the complex conjugate pair of the channel frequency response. A n offset of the phase rotation value is performed by multiplying the channel frequency response of the k-th subcarrier by the channel frequency response of the (N-k)-th subcarrier, which is represented by
[Equation 19]
C • C 1X) C ■ C
'"Jt+l ^AT-(AM-I) H ^N-k
Referring to FIG. 19, it is found that, in the channel frequency response where the I/Q mismatch is corrected, similarity between a product of a complex conjugate pair and a product of another complex conjugate pair exists. Accordingly, when utilizing FIG. 19, an I/Q parameter calculation criterion may be acquired, which is represented by
[Equation 20]
Figure imgf000016_0001
where denotes a mean square error.
The I/Q mismatch is a cause for reducing the similarity existing between the product of the complex conjugate pair and the product of the other complex conjugate pair in the channel frequency response T hus, correcting effects of the I/Q mismatch corresponds to ensuring the similarity between the product of the complex conjugate pair and the product of the other complex conjugate pair in the channel frequency response. Specifically, to correct the I/Q mismatch effect is to calculate an I/Q parameter for minimizing MSE of Equation 20.
Accordingly, the I/Q parameter calculating unit 270 may calculate the I/Q parameter according to the I/Q parameter calculation criterion such as Equation 20 generated using the complex conjugate pair of the channel frequency response.
Various schemes for calculating a and " for minimizing Equation 20 may
exist. , , , and
Figure imgf000016_0002
may be expressed as h, and a
and " may be expressed by utilizing Equation 18, and may be substituted for
Equation 20, so that a and " for minimizing MSE of Equation 20 can be calculated. In this instance, ^ and " may be calculated by an iteration scheme, or a differential scheme.
Also, a channel response correcting unit 280 corrects a channel response using the calculated I/Q parameter. Referring again to Equation 18, the calculated a and
H B ma y be substituted for Equation 18, and accordingly, Ck of the channel frequency response generated such that the I/Q mismatch is corrected may be acquired based on the timing synchronization error.
Also, although not shown in FIG. 2, the apparatus for receiving the OFDM signal according to the present exemplary embodiment may include a data symbol correcting unit for correcting a received data symbol using the calculated I/Q parameter.
For example, in the case of a communication system according to IEEE
802.11a, the I/Q mismatch may affect the data symbol as well as the training symbol.
In this instance, the data symbol correcting unit may correct the data symbol subsequently received after the training symbol based on the calculated I/Q parameter. A principle in which the channel response correcting corrects the channel response may be directly applicable to a process where the data symbol correcting unit corrects the data symbol.
F IG. 4 is a flowchart illustrating a method for receiving an OFDM signal according to an exemplary embodiment of the present invention. Referring to FIG. 4, in operation S410, the method for receiving the OFDM signal according to the present exemplary embodiment receives a frequency domain signal to estimate a channel response. In this instance, operation S410 may estimate the channel response through any one of the LS scheme and the LMMSE scheme using the training symbol.
In this instance, the frequency domain signal may be generated such that the carrier frequency offset is corrected. Also, in operation S420, the method for receiving the OFDM signal according to the present exemplary embodiment calculates the I/Q parameter of the channel response based on the timing synchronization error of the channel response.
In this instance, operation S420 may calculate the I/Q parameter according to the I/Q parameter calculation criterion generated by using at least two complex conjugate pairs.
In this instance, operation S420 may calculate the I/Q parameter according to the I/Q parameter calculation criterion generated by
ΛT-I
"k+1 ' CN~(k-t-n Ck 'Λ' -k
(ir=I where 'k' denotes an index of a subcarrier, 'N' denotes a number of subcarriers,
A and denotes a channel frequency response corresponding to a k-th subcarrier.
In this instance, operation S420 may calculate the I/Q parameter where an operation result of Equation 1 is minimized.
Also, in operation S430, the method for receiving the OFDM signal according to the present exemplary embodiment corrects the channel response using the calculated I/Q parameter.
Also, although not shown in FIG. 4, the method for receiving the OFDM signal according to the present exemplary embodiment may further include transforming a received time domain signal into the frequency domain signal using a Fourier transform scheme.
Also, although not shown in FIG. 4, the method for receiving the OFDM signal according to the present exemplary embodiment may further include correcting a received data symbol using the calculated I/Q parameter.
Portions of operations of FIG. 4, which are left undescribed, will be easily understood from descriptions of FIGS. 1 to 3, and thus their descriptions will be omitted.
The method for receiving the OFDM signal according to the above-described exemplary embodiments of the present invention may be recorded in computer-readable media including program instructions to implement various operations embodied by a computer. The media may also include, alone or in combination with the program instructions, data files, data structures, and the like. The media and program instructions may be those specially designed and constructed for the purposes of the present invention, or they may be of the kind well-known and available to those having skill in the computer software arts. Examples of computer-readable media include magnetic media such as hard disks, floppy disks, and magnetic tape; optical media such as CD ROM disks and DVD; magneto-optical media such as optical disks; and hardware devices that are specially configured to store and perform program instructions, such as read-only memory (ROM), random access memory (RAM), flash memory, and the like. Examples of program instructions include both machine code, such as produced by a compiler, and files containing higher level code that may be executed by the computer using an interpreter. The described hardware devices may be configured to act as one or more software modules in order to perform the operations of the above-described exemplary embodiments of the present invention. As described above, according to the present invention, an I/Q parameter is calculated based on a timing synchronization error of the channel response, whereby communication is performed more effectively.
According to the present invention, an I/Q parameter is calculated considering a carrier frequency offset, whereby data is transmitted/received more effectively. According to the present invention, an I/Q parameter is calculated using a complex conjugate pair of a channel frequency response, whereby communication is performed more accurately. According to the present invention, an I/Q mismatch is corrected more accurately to transmit/receive data, whereby data is transmitted/received in a high speed.
Although a few embodiments of the present invention have been shown and described, the present invention is not limited to the described embodiments. Instead, it would be appreciated by those skilled in the art that changes may be made to these embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.

Claims

1. An apparatus for receiving an Orthogonal Frequency Division Multiplexing (OFDM) signal, the apparatus comprising: a channel response estimating unit for receiving a frequency domain signal to estimate a channel response; an In-phase/Quadrature (I/Q) parameter calculating unit for calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response; and a channel response correcting unit for correcting the channel response using the I/Q parameter.
2. The apparatus of claim 1, wherein the I/Q parameter calculating unit calculates the I/Q parameter according to an I/Q parameter calculation criterion generated by using a complex conjugate pair of a channel frequency response associated with the channel response.
3. The apparatus of claim 2, wherein the I/Q parameter calculation criterion is generated by using at least two complex conjugate pairs.
4. The apparatus of claim 2, wherein the I/Q parameter calculating unit calculates the I/Q parameter according to the I/Q parameter calculation criterion generated by [Equation 1]
Ck±\ ' CM-(k+)) Ck i-k
<=\ where 'k' denotes an index of a subcarrier, 'N' denotes a number of subcarriers,
and denotes a channel frequency response corresponding to a k-th subcarrier.
5. The apparatus of claim 4, wherein the I/Q parameter calculating unit calculates the I/Q parameter where an operation result of Equation 1 is minimized.
6. The apparatus of claim 1, wherein the frequency domain signal is generated such that a carrier frequency offset is corrected.
7. The apparatus of claim 1, wherein the channel response estimating unit estimates the channel response through any one of a Least Square (LS) scheme and a
Linear Minimum Mean Square Error (LMMSE) scheme using a training symbol.
8. The apparatus of claim 1, further comprising: a Fourier transformer for transforming a received time domain signal into the frequency domain signal.
9. The apparatus of claim 1, further comprising: a data symbol correcting unit for correcting a received data symbol using the calculated I/Q parameter.
10. A method for receiving an OFDM signal, the method comprising: receiving a frequency domain signal to estimate a channel response; calculating an I/Q parameter of the channel response based on a timing synchronization error of the channel response; and correcting the channel response using the I/Q parameter.
11. The method of claim 10, wherein the calculating calculates the I/Q parameter according to an I/Q parameter calculation criterion generated by using a complex conjugate pair of a channel frequency response associated with the channel response.
12. The method of claim 11, wherein the I/Q parameter calculation criterion is generated by using at least two complex conjugate pairs.
13. The method of claim 11, wherein the calculating calculates the I/Q parameter according to the I/Q parameter calculation criterion generated by
[Equation 2] JV-I
'A+l "jV-(έ+1> C1 C W~£
where 'k' denotes an index of a subcarrier, 'N' denotes a number of subcarriers,
and «* k denotes a channel frequency response corresponding to a k-th subcarrier.
14. The method of claim 13, wherein the calculating calculates the I/Q parameter so that an operation result of Equation 2 is minimized.
15. The method of claim 10, wherein the frequency domain signal is generated such that a carrier frequency offset is corrected.
16. The method of claim 10, wherein the receiving estimates the channel response through any one of an LS scheme and an LMMSE scheme using a training symbol.
17. The method of claim 10, further comprising: transforming a received time domain signal into the frequency domain signal using a Fourier transform scheme.
18. The method of claim 10, further comprising: correcting a received data symbol using the calculated I/Q parameter.
19. A computer-readable recording medium storing a program for implementing the method of claim 10.
PCT/KR2008/000003 2007-06-29 2008-01-02 Method of receiving orthogonal frequency division multiplexing signal and orthogonal frequency division multiplexing signal receiving device of enabling the method Ceased WO2009005199A1 (en)

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