Signal

analog low-pass filter

squared magnitude response of a Butterworth filter

creates cascade realization of filter

square magnitude response of a type 1 Chebyshev filter

square magnitude response of a type 1 Chebyshev filter

recursive implementation of Chebychev polynomial

convolution of 2 discrete series

squared magnitude of an elliptic filter

minimax multi-band, linear phase, FIR filter

design of iir filter

optimal lqg filter.

optimal lqg filter lindquist algorithm

FIR low-pass,high-pass, band-pass, or stop-band filter

compute the filter model

parameter compatibility for elliptic filter design

for elliptic filter design

magnitude of the frequency responses of FIR and IIR filters.

design of FIR, linear phase (frequency sampling technique)

optimum design of IIR filters in cascade realization,

designs an iir digital filter using analog filter designs.

group delay of iir filter

Lp IIR filters optimization

calculate the group delay of a digital filter

minimax approximation of a frequency domain magnitude response.

Kalman update and error variance

resolve the Yule-Walker equations :

solve recursively Toeplitz system (normal equations)

square-root algorithm for the algebraic Riccati equation.

square-root Kalman filter algorithm

steady-state Kalman filter

generates the next observation given the old state

transformation of standardized low-pass filter into low-pass, high-pass, band-pass, stop-band.

linear-phase windowed FIR low-pass, band-pass, high-pass, stop-band

Wiener estimate (forward-backward Kalman filter formulation)

time-frequency wigner spectrum of a signal.

calculate symmetric window

Butterworth analog filter

poles of a type 1 Chebyshev analog filter

poles and zeros of a type 2 Chebyshev analog filter

poles and zeros of prototype lowpass elliptic filter

correlation coefficients

spectral estimation using the modified periodogram method.

chirp z-transform algorithm

change the sampling rate of a 1D or 2D signal

calculate the maximum entropy spectral estimate

auto and cross-spectral estimate

Wigner-Ville time/frequency spectral estimation

discrete Fourier transform

fast flourier transform

Hilbert transform centred around the origin.

hankel matrix of the covariance sequence of a vector process

fft for a multi-dimensional signal

recursive solution of normal equations

State space realisation by the principal hankel component approximation method,

identification by the recursive prediction error method

calculate the function sin(2*pi*fl*t)/(pi*t)

calculates the function Sin(N*x)/Sin(x)

Jacobi's complete elliptic integral

.TP the elliptic integral :

Jacobi 's elliptic function with parameter m

bilinear transform or biquadratic transform.

permutes block rows or block columns of a matrix