DFT and its properties, Relation between DTFT and DFT, FFT computations using Decimation in time and Decimation in frequency algorithms, Overlap-add and save methods
UNIT II INFINITE IMPULSE RESPONSE DIGITAL FILTERS 9
Review of design of analog Butterworth and Chebyshev filters, Frequency transformation in the analog domain - Design of IIR digital filters using impulse invariance technique - Design of digital filters using bilinear transform - pre warping - Realization using direct, cascade, and parallel forms.
UNIT III FINITE IMPULSE RESPONSE DIGITAL FILTERS 9
Symmetric and Antisymmetric FIR filters - Linear phase FIR filters - Design using Hamming, Hanning, and Blackman Windows - Frequency sampling method - Realization of FIR filters - Transversal, Linear phase and Polyphase structures.
UNIT IV FINITE WORD LENGTH AFFECTS 9
Fixed point and floating-point number representations - Comparison - Truncation and Rounding errors - Quantization noise - derivation for quantization noise power - coefficient quantization error - Product quantization error - Overflow error - Roundoff noise power - limit cycle oscillations due to product roundoff and overflow errors - signal scaling
UNIT V MULTIRATE SIGNAL PROCESSING 9
Introduction to Multirate signal processing-Decimation-Interpolation-Polyphase implementation of FIR filters for interpolator and decimator -Multistage implementation of sampling rate conversion- Design of narrow band filters - Applications of Multirate signal processing.

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