Digital Signal Processing: Principles, Algorithms, and Applications |
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Page 474
Principles, Algorithms, and Applications John G. Proakis. radix - 2 algorithms , although similar comments may be made about radix - 4 and higher - radix algorithms . Basically , the radix - 2 FFT algorithm consists of taking two data ...
Principles, Algorithms, and Applications John G. Proakis. radix - 2 algorithms , although similar comments may be made about radix - 4 and higher - radix algorithms . Basically , the radix - 2 FFT algorithm consists of taking two data ...
Page 475
... algorithm is equally important as arithmetic complexity . Hence for DSP processors , radix - 2 or radix- 4 decimation - in - frequency FFT algorithms are preferable ... FFT Algorithms Efficient Computation of the DFT of Two Real Sequences,
... algorithm is equally important as arithmetic complexity . Hence for DSP processors , radix - 2 or radix- 4 decimation - in - frequency FFT algorithms are preferable ... FFT Algorithms Efficient Computation of the DFT of Two Real Sequences,
Page 477
... FFT algorithm , namely , N - 1 Σ8 ( 2n ) W2 ** + Σ8 ( 2n + 1 ) W_2n + 1 ) k N - 1 G ( k ) = n = 0 N - 1 = 2nk 2N n = 0 N - 1 2N Σx1 ( n ) Wnk + W1⁄2N Σ x2 ... FFT Algorithms 477 Use of the FFT Algorithm in Linear Filtering and Correlation,
... FFT algorithm , namely , N - 1 Σ8 ( 2n ) W2 ** + Σ8 ( 2n + 1 ) W_2n + 1 ) k N - 1 G ( k ) = n = 0 N - 1 = 2nk 2N n = 0 N - 1 2N Σx1 ( n ) Wnk + W1⁄2N Σ x2 ... FFT Algorithms 477 Use of the FFT Algorithm in Linear Filtering and Correlation,
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 |
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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