Mathosy Guru - Rajiv Patel
Mathosy Guru - Rajiv Patel
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DTFT - 50 | Solution of 5.36 of oppenheim | How to find impulse response of inverse system
Solution of problem 5.36a and 5.36b of Alan V Oppenheim
5.36 (a) Let h(n) and g(n) be impulse responses of two stable discrete-time LTI Systems that are inverse of each other. What is the relationship between frequency responses of these two systems.
(b) Consider causal LTI System described by the following difference equation. In each case determine the impulse response of the inverse system and the difference equation that characterizes the inverse.
(i) y(n) = x(n) - (1/4)x(n - 1)
(ii) y(n) + (1/2)y(n - 1) = x(n)
(iii) y(n) + (1/2)y(n - 1) = x(n) - (1/4)x(n - 1)
(iv)y(n) + (5/4)y(n - 1) - (1/8)y(n - 2) = x(n) -(1/4)x(n - 1) - (1/8)x(n - 2)
(v)y(n) + (5/4)y(n - 1) - (1/8)y(n - 2) = x(n) -(1/2)x(n - 1)
(vi) y(n) + (5/4)y(n - 1) - (1/8)y(n - 2) = x(n)
zhlédnutí: 41

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zhlédnutí 338Před 7 měsíci
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DTFT-39 | Solution of 5.24 of oppenheim
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DTFT-37 | Solution of 5.22h of oppenheim
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