Adaptive Filter | ADPCM | ADSP | ADSP-2181 | Aliasing | AMR | Anti-Aliasing | ARMA | Autocorrelation | AutoCovariance | Beamforming | Bessel | Blackfin | Butterworth | C6713 | CCS | Chebyshev | CIC Filter | Circular Convolution | Code Composer Studio | Comb Filter | Compression | Convolution | Cross Correlation | DCT | Decimation | Deconvolution | Demodulation | DM642 | DSP Boards | DSP/BIOS | DTMF | Echo Cancellation | Equalization | Equalizer | ETSI | EZLITE (Ez-kit Lite) | FFT | FFTW | FIR Filter | Fixed Point | FSK | G.711 | G.723 | G.729 | Gaussian Noise | Goertzel | GPIO | Hilbert Transform | IFFT | IIR Filter | Interpolation | Invariance | JTAG | Kalman | Laplace Transform | Levinson | LPC | McBSP | MIPS | Modulation | MPEG | Multirate | Notch Filter | Nyquist | OFDM | Oversampling | Pink Noise | Pitch | PLL | Polyphase | QAM | QDMA | Quantization | Quantizer | Radar | Random Noise | Reed Solomon | Remez | Resampling | RTDX | Sampling | Sharc | TI C6711 | Undersampling | Viterbi | Wavelets | White Noise | Wiener Filter | Windowing | XDS510PP | Z Transform

CONTEXT:**********************

Transmit x(n) receive y(n). Wiener-Hopf (MMSE) FIR Equalizer is...
w = inv(Ryy)rxy
where Ryy is the received signal autocorrelation and rxy is the
channel input-output crosscorrelation: rxy(k) = E(x(n-D)y(n+k)). The D
is a delay parameter chosen to make sure the equalizer is causal. It
specifies the location of the impulse of the equalized channel.

QUESTION:*********************

Is it possible to impose a delay constraint on the actual equalizer?
Would it have to be linear phase for this to work? I was hoping to
specify the equalizer output as being a fixed delay relative to the
equalizer input.

______________________________
New DSP Code Snippets Section now Live.   Learn more about the reward program for contributors here.

The delay of the equalizer is dependent on the length of the channel Impulse
Response.

"porterboy" <p...@yahoo.com> wrote in message
news:c...@posting.google.com...
> CONTEXT:**********************
>
> Transmit x(n) receive y(n). Wiener-Hopf (MMSE) FIR Equalizer is...
> w = inv(Ryy)rxy
> where Ryy is the received signal autocorrelation and rxy is the
> channel input-output crosscorrelation: rxy(k) = E(x(n-D)y(n+k)). The D
> is a delay parameter chosen to make sure the equalizer is causal. It
> specifies the location of the impulse of the equalized channel.
>
> QUESTION:*********************
>
> Is it possible to impose a delay constraint on the actual equalizer?
> Would it have to be linear phase for this to work? I was hoping to
> specify the equalizer output as being a fixed delay relative to the
> equalizer input.

______________________________
New DSP Code Snippets Section now Live.   Learn more about the reward program for contributors here.

"trellis coder" <t...@earthlink.net> wrote in message
news:<d%4Hc.8721$R...@newsread2.news.pas.earthlink.net>...
> The delay of the equalizer is dependent on the length of the channel Impulse
> Response.

I understand that is the case if an unconstrained Wiener-Hopf
equlaizer is used. I was wondering is there a constrained Wiener-Hopf
solution, which allows delay specification? Anyway, I found a
solution, whereby the equalizer is constrained to be linear phase, and
hence has a fixed delay equal to half its length. However, the
performance drop is significant compared to the unconstrained case.

______________________________
New DSP Code Snippets Section now Live.   Learn more about the reward program for contributors here.