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EE311 - Digital Signal Processing (Lecture # 04)

EE311 - Digital Signal Processing (Lecture # 04). Kohat University of Sciences & Technologies. Some properties of covolution…. x[n] * h[n] = h[n] * x[n]. Associate Property: {x[n] * h 1 [n]}*h 2 [n] = x[n] * {h 1 [n]}*h 2 [n]}. x[n]. x[n]. h 1 [n]. h 2 [n]. h 1 [n]*h 2 [n].

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EE311 - Digital Signal Processing (Lecture # 04)

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  1. EE311 - Digital Signal Processing(Lecture # 04) Kohat University of Sciences & Technologies

  2. Some properties of covolution…. x[n] * h[n] = h[n] * x[n] Associate Property:{x[n] * h1[n]}*h2[n] = x[n] * {h1[n]}*h2[n]} x[n] x[n] h1[n] h2[n] h1[n]*h2[n] Distributive Property:x[n] * {h1[n]+h2[n]} = x[n]*h1[n] + x[n]*h2[n]} h1[n] x[n] x[n] h1[n]+h2[n] h2[n]

  3. Convolution on infinite or long length signals

  4. Stability

  5. Are the following systems stable….??? • h[n] = 0.8nu[n] • h[n] = u[n]

  6. Causility

  7. Is this system Causal…??? -1 0

  8. Causality and stability

  9. Difference Equation

  10. Example: ... For a single input impulse, we will keep on getting outputs till infinity (Infinite Impulse Response Systems) What if we replace 0.8 with 1.1…..??? (It will be an unstable system)

  11. Linear Constant-Coefficient Difference (LCCD) Equations Auto-regressive Moving-average functions

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