GROUP MEMBERS ELISHBA KHALID 07 CP07 TAHIRA SAMEEN

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

INFINITE IMPLUSE RESPONSE

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

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

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

FILTERS n Filter the Signal n Process Of Compressing System n Electronic Systems

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

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

TYPES OF IIR FILTERS n Analog n Digital

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

Block Diagram

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

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

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

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

APPLICATION Data conversion • Channel equalization • Carrier frequency and phase recovery •

REFRENCES n http: //www. Wikipideia. com n http: //www. google. com n Lectures Of Prof. Brian L. Evains n Signals and System By OOPENHEM

CONCLUSION

THANKS