GROUP MEMBERS ELISHBA KHALID 07-CP-07 TAHIRA SAMEEN 07-CP-31

INFINITE IMPLUSE RESPONSE

PRESENTATION LAYOUT Introduction IIR Systems IIR Filters Types of IIR Filters Block Diagram Uses Of IIR Applications Of IIR Conclusion

INTRODUTION Sample of output is the weighted sum of past and current samples of input Property of signal processing systems

IIR SYSTEM IIR systems have an infinite impulse response Opposite to FIR Consider Time Zero

FILTERS Filter the Signal Process Of Compressing System Electronic Systems

FILTER REPRESENTATION Difference equation Recursive computation needs y[-1] and y[-2]) Transfer function

IIR FILTERS Property of IIR Types Fast And Cheap Poor Bandpass Filtering

TYPES OF IIR FILTERS Analog Digital

DIGITAL IIR FILTERS Infinite Impulse Response (IIR) filter has impulse response of infinite duration, e.g. implement the IIR filter Z Recursively compute output, given y[-1] and x[k]

Block Diagram

STABILITY Bounded input x[k] such that | x[k] |  B < , then the filter response y[k] is also bounded | y[k] |  B <  IIR filter is stable if and only if its poles lie inside the unit circle

STABILITY RULES For a signal, poles are inside the unit circle Unit circle is in the region of convergence. All FIR filters are stable

MATLAB COMMAND MATLAB's freqz command displays the frequency responses of IIR filters and FIR filters

USES OF IIR FILTERS Noise removal Example: bandpass filtering to suppress out-of-band noise Spectral analysis, synthesis, and compression Examples: calculating power spectra

APPLICATION Data conversion Channel equalization Carrier frequency and phase recovery

REFRENCES Lectures Of Prof.Brian L.Evains Signals and System By OOPENHEM

CONCLUSION

THANKS