The first-order filter shown in figure is implemented in four-bit (including sign) fixed-point two?s-complement fractional arithmetic. Products are rounded to four-bit representation. Using the input x(n) = 0.10?(n), determine:

(a) The first five outputs if a = 0.5. Does the filter go into a limit cycle?

(b) The first five output if a = 0.75. Does the filter go into a limit cycle?

Transcribed Image Text:

x(n) y(n)