Digital Signal Processing: Principles, Algorithms, and Applications |
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Page 20
... complex constants . The signal x 。( t ) is periodic with fundamental period T = 1 / Fo , and its representation in terms of ( 1.3.17 ) is called the Fourier series expansion for xa ( t ) . The complex - valued constants are the Fourier ...
... complex constants . The signal x 。( t ) is periodic with fundamental period T = 1 / Fo , and its representation in terms of ( 1.3.17 ) is called the Fourier series expansion for xa ( t ) . The complex - valued constants are the Fourier ...
Page 193
... complex conjugate p is also a pole . As was demonstrated in Example 3.4.6 , the correspond- ing coefficients in the partial - fraction expansion are also complex conjugates . Thus the contribution of two complex - conjugate poles is of ...
... complex conjugate p is also a pole . As was demonstrated in Example 3.4.6 , the correspond- ing coefficients in the partial - fraction expansion are also complex conjugates . Thus the contribution of two complex - conjugate poles is of ...
Page 453
... complex than the direct computation of the DFT . However , let us evaluate the computational complexity of ( 6.1.15 ) ... complex additions . The second step requires LM complex multiplications . Finally , the third step in the computation ...
... complex than the direct computation of the DFT . However , let us evaluate the computational complexity of ( 6.1.15 ) ... complex additions . The second step requires LM complex multiplications . Finally , the third step in the computation ...
Contents
THE ZTRANSFORM AND ITS APPLICATION TO THE ANALYSIS | 3 |
LINEAR PREDICTION AND OPTIMUM LINEAR FILTERS | 11 |
DISCRETETIME SIGNALS AND SYSTEMS | 43 |
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DIGITAL SIGNAL PROCESSING: PRINCIPLES ALGORITHMS AND APPLICATIONS John G. Proakis No preview available - 2001 |
Common terms and phrases
A/D converter a₁ aliasing amplitude analog signal bandpass causal coefficients computation Consequently convolution corresponding crosscorrelation defined Determine difference equation digital filter digital signal processing direct form discrete-time signal discrete-time system domain equivalent Example expressed F₁ FFT algorithm Figure finite finite-duration FIR filter FIR system Fourier series Fourier transform frequency components frequency response given h₁(n Hence illustrated in Fig impulse response impulse response h(n initial conditions input sequence input x(n input-output integer interpolation inverse linear time-invariant system lowpass filter LTI system magnitude and phase multiplications N-point DFT noise obtain output y(n parameters passband periodic signal pole-zero poles polynomial product sequence quantization error realization recursive system result sampling rate second-order Section sequence x(n shown in Fig sinusoidal sinusoidal signal Solution spectrum state-space system described theorem unit circle unit sample response values variable x₁(n Xa(t z-plane z-transform zero