4) The first-order filter shown below is implemented in 4-bit (including sign) fixed-point two's complement fractional arithmetic. Products are rounded to 4-bit representation. Using the input x(n) = 0.10 * 8(n), determine: a) The first five outputs if a = 0.5. Does the filter go into a limit cycle? b) The first five outputs if a = 0.75. Does the filter go into a limit cycle? x(n) Y₁(n) + α

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4) The first-order filter shown below is implemented in 4-bit (including sign) fixed-point
two's complement fractional arithmetic. Products are rounded to 4-bit representation.
Using the input x (n) = 0.10 * 8(n), determine:
a) The first five outputs if a = 0.5. Does the filter go into a limit cycle?
b) The first five outputs if a = 0.75. Does the filter go into a limit cycle?
x(n)
→y₁(n)
+
α
Transcribed Image Text:4) The first-order filter shown below is implemented in 4-bit (including sign) fixed-point two's complement fractional arithmetic. Products are rounded to 4-bit representation. Using the input x (n) = 0.10 * 8(n), determine: a) The first five outputs if a = 0.5. Does the filter go into a limit cycle? b) The first five outputs if a = 0.75. Does the filter go into a limit cycle? x(n) →y₁(n) + α
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