Question

3. Consider a periodic signal c(t) with period T, = 2s (i.e. c(t) = c(t +nT) for any integer n), given by S-t for-1<t<0s it for 0 <t<1s This signal is input to a 256-level uniform quantizer with a dynamic range of 1.5 volts. Find the SQNR (in dB) at the quantizer output when the input is c(t). (t) =

Answer 1

3. Given that a periodic signal alt) with period Tp = as Cire. act)=alttn Tp) for any integer ny for -Istsos rt alt)- 2 t for ostsis (0,0 (1,1) qalt) yza altlat N (0,0) (-1,41) + tinot Yana alt)2 -t power of the signal = it powe obosignal = 4 fact)" at power of the signal .P= I l lactsje at wid ابر ما را -d dlm wie N P = ½ W

Dynamic Range of the quantize = +1.50 aman=1.50, amin=-1.50 Number of levels in quantize (L) =256 2"= L = 256 2"=256 > Na log, 256 = 8 Caps Nea) Loy Aza) in=8 the SQ NR of the signal is 21 SQNR= 3P x 2 2 3P ad idman 12 x (amaa) 2 amani 272 SQ NR = (2x8) x2 = xa eo X 2 1.si na 1.52 SQNR. 29.127.111 SQ NA (dB) = 10 long, SQMR = 10 log, 29127.14 SQNR (DB) = 44.6429. dB SQNR=29127.111 SQ R (dB) = 44.6429 dB