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Explore the practical applications of Digital Signal Processing with lecture insights on DTFT properties, ideal delay, lowpass filters, and linear phase symmetry. Understand frequency response, magnitude, angle plots, and DTFT characteristics for efficient signal processing.
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Dr. Shoab Khan Digital Signal Processing Lecture 4 DTFT
Symmetric Properties DTFT Properties:
Consequences of Hermitian Symmetry If then And symmetry
w w - w - w 2 j j j 2 j = + + + + e 2 e 3 2 e e = w + w + 2 cos( 2 ) 4 cos( ) 3 Real and Even ( Zero Phase) Consider an LTI system with an even unit sample response DTFT is
Real & Even (Zero Phase) • Frequency response is real, so system has “zero” phase shift • This is to be expected since unit sample response is real and even.
Linear Phase symmetryLP