Waveform Quantization and Compression - Digital Signal Processing: Fundamentals and Applications - page 548

Program 11.17. Sign function.

function sgn ¼ sgn(sgninp)

%
% Sign function
% if signp > ¼ 0 then sign ¼ 1
% else sign ¼ -1
%

if sgninp > ¼ 0
opt ¼ 1;
else
opt ¼ -1;
end
sgn ¼ opt;

11.8 PROBLEMS
11.1.

For the 3-bit midtread quantizer described in Figure 11.1 , and an analog signal range
from 2.5 to 2.5 volts, determine
a.

the quantization step size;

b. the binary codes, recovered voltages, and quantization errors when each input is 1.6 volts

and 0.2 volt.

11.2. For the 3-bit midtread quantizer described in Figure 11.1, and an analog signal range

from 4 to 4 volts, determine
a.

the quantization step size;

b. the binary codes, recovered voltages, and quantization errors when each input

is 2.6 volts and 0.1 volt.

11.3. For the 3-bit midtread quantizer described in Figure 11.1 , and an analog signal range

from 5 to 5 volts, determine
a. the quantization step size;

b. the binary codes, recovered voltages, and quantization errors when each input is 2.6

volts and 3.5 volts.

11.4. For the 3-bit midtread quantizer described in Figure 11.1 , and an analog signal range

from 10 to 10 volts, determine
a. the quantization step size;

the binary codes, recovered voltages, and quantization errors when each input is 5
volts, 0 volts, and 7.2 volts.

b.

11.5. For the m -law compression and expanding process shown in Figure 11.3 with m ¼ 255,

a 3-bit midtread quantizer described in Figure 11.1 , and an analog signal range from 2.5
to 2.5 volts, determine the binary codes, recovered voltages, and quantization errors when
each input is 1.6 volts and 0.2 volt.