Digital Signal ProcessingCovers the analysis and representation of discrete-time signals and systems, including discrete-time convolution, difference equations, the z-transform, and the discrete-time Fourier transform. Emphasis is placed on the similarities and distinctions between discrete-time and continuous-time signals and systems. Also covers digital network structures for implementation fo both recursive (infinite impulse response) and nonrecursive (finite impulse response) digital filters with four videocassettes devoted to digital filter design for recursive and nonrecursive filters. Concludes with a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform. |
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Page 80
... poles or zeros of multiplicity greater than unity . Let C be a simple closed contour , and let Z and P be , respectively , the number of zeros and poles of F ( z ) enclosed by the contour . ( Assume that there are no poles or zeros on C ...
... poles or zeros of multiplicity greater than unity . Let C be a simple closed contour , and let Z and P be , respectively , the number of zeros and poles of F ( z ) enclosed by the contour . ( Assume that there are no poles or zeros on C ...
Page 167
... poles of H ( z ) are located at z = z1 , i = 1 , 2 , . . . , N ; i.e. , expressed in factored form , the denominator ... zeros depend only on the numerator coefficients by , an entirely analogous result can be obtained for the sensitivity of ...
... poles of H ( z ) are located at z = z1 , i = 1 , 2 , . . . , N ; i.e. , expressed in factored form , the denominator ... zeros depend only on the numerator coefficients by , an entirely analogous result can be obtained for the sensitivity of ...
Page 347
... poles and zeros inside the unit circle in order for a stable and causal inverse to exist . Henceforth we shall use the term minimum - phase system to denote a system whose frequency response is minimum phase ; i.e. , the log magnitude ...
... poles and zeros inside the unit circle in order for a stable and causal inverse to exist . Henceforth we shall use the term minimum - phase system to denote a system whose frequency response is minimum phase ; i.e. , the log magnitude ...
Contents
INTRODUCTION | 1 |
THE ZTRANSFORM | 45 |
FLOW GRAPH AND MATRIX REPRESENTA | 136 |
Copyright | |
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analog filter applied approximation arithmetic assume autocovariance causal cepstrum chapter circular convolution coefficients complex cepstrum complex logarithm computation consider continuous-time corresponding defined denote depicted in Fig derived determine difference equation digital filter digital signal processing discrete Fourier transform discrete-time discussed error example expressed FFT algorithm finite finite-duration sequence fixed-point floating-point flow graph frequency response Hilbert transform implementation impulse response input integral inverse length linear phase linear shift-invariant system linear system lowpass filter magnitude minimum-phase multiplication node noise sources noise-to-signal ratio obtain output noise parameters passband periodic sequence periodogram poles and zeros polynomial power spectrum Problem properties quantization random process random variables realization region of convergence representation represented result samples second-order sequence x(n Show shown in Fig spectrum estimate stopband system function theorem truncation two-dimensional unit circle unit-sample response variance window x₁(n z-plane z-transform