Consider a system with sampling rate 52,500 samples per second.
(a) Determinethe maximum frequency of the pre-sampled signal if the system utilizes 18% oversampling.
(b) Determine the percentage oversampling if the maximum frequency from part (a) isincreased by 10%.

Respuesta :

Answer:

The answer is "[tex]22,246 \ H_z \ \ and \ \ 7.3\%[/tex]"

Step-by-step explanation:

The sampling rate: [tex](f_s) = 52,500 \ \frac{samples}{sec}[/tex]

In point a:

The sample signal frequency = f  

They recognize that the id [tex]\geq[/tex] 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere,  Yet under percentage =18%

[tex]\ sampling \ rate = 2 \times 1.18 \times f[/tex]

[tex]\to f = \frac{52,500}{2 \times 1.18}\\\\[/tex]

       [tex]= 22,246 \ h_z[/tex]

In point b:

Maximum 22,242 frequency is increased by [tex]10 \ \%[/tex]

[tex]f_a =22,246 \times 1.1[/tex]

    [tex]= 24,470.6\\\\=24,471[/tex]

[tex]\ sampling \ rate= x \times 2 \times 24,2471 \\[/tex]

                    [tex]x= \frac{52,500}{48,942} \\\\x= 1.073\\\\[/tex]

over sampling percentage [tex]= 7.3 \ \%[/tex]