Digital signal processing - Project 16: Kaiser Window designs

Digital signal processingProject 16: Kaiser window designsInstructor: Dr. Dung Trung VoGroup 11:Nguyen Trong Tuan	41204295Nguyen Duy Vinh	41204579Phan Trung Duong	41200648Ho Dac Thuan	41203697Project 16: Kaiser window designsWindow methodThe window method is one of the simplest methods of designing FIR digital filters. It is well suited for designing filters with simple frequency response shapes, such as ideal lowpass filters, bandpass filters and highpass filters.Ideal FiltersRectangular WindowHamming WindowKaiser WindowKaiser windowThe rectangular and Hamming window designs are very simple, but do not provide good control over the filter design specifications. With these windows, the amount of overshoot is always fixed to 8.9% or 0.2% and cannot be changed to a smaller value if so desired.Kaiser window1. Calculate fc and fThe passband/stopband frequencies {fpass,fstop} are related to the ideal cutoff frequency fc and transition width Δf byKaiser window= => = Kaiser window2. Calculate and Kaiser window3. Calculate and A4. Calculate and DKaiser window5. Calculate the filter length N and round it up to the next odd integer, N = 2M + 1, and set M = (N − 1)/2.Kaiser window6. Calculate the window function w(n), n = 0, 1,..., N − 1Kaiser window7. Calculate the windowed impulse response, for n = 0, 1,..., N − 1:Bandpass filtersBandpass filtershighpass filtersReferential DocumentsIntroduction to Signal Processing Sophocles J. OrfanidisRutgers UniversityThanks for attentions!Nguyen Trong Tuan	Nguyen Duy Vinh	Phan Trung Duong	Ho Dac Thuan