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Digital Signal Processing

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Submitted By tomatoxiaopang
Words 1316
Pages 6
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Contents
* SECTION :2 * SECTION :3 * SECTION :4 * SECTION :5

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SECTION :2
Multiply the following polynomials in z by using the fft algorithm a=1+2*z^{-1}+ 4*z^{-2}+7*z^{-3}+12*z^{-4}+25*z^{-5} b=1-3*z^{-1}+ 7*z^{-2}+15*z^{-3}-12*z^{-4}+13*z^{-5}
Transform polynomials equation to vector
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a = [1 2 4 7 12 25];
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b = [1 -3 7 15 -12 13];
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% FFT function in Matlab using Circular Convolution, instead avoid the
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% affect of circular convolution, we add zero paddles at end of the vector
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------------------------------------------------- a0 = [a zeros(1, 5)];
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b0 = [b zeros(1 , 5)];
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------------------------------------------------- % Convolution in time domain equivalent the mutiply in frequency domain.
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% First equation doing convolution operation of two polynomials equation in
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% time domain.
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% Secon equation doing mutiply operation of two polynomials equation in
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% frequency domain, then convert back to time domain.
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