Let x a (t) be a bandlimited signal with fixed bandwidth B and variance 2 x (a) Show that the signal to quantization noise ratio SQNR 10log 10 ( 2 x 2 x ) Increase by 3 dB each time we double the sampling frequency F s Assume that the quantization noise model discussed in section 9 2 3 is valid (b)...

a Let Pd denote the power spectral density of the quantizat ...

Let x a (t) be a bandlimited signal with fixed bandwidth B and variance 2 x

Question:

Let x_a(t) be a bandlimited signal with fixed bandwidth B and variance σ²_x.

(a) Show that the signal-to-quantization noise ratio. SQNR = 10log₁₀(σ²_x/σ²_x). Increase by 3 dB each time we double the sampling frequency F_s. Assume that the quantization noise model discussed in section 9.2.3 is valid.

(b) If we wish to increase the SQNR of a quantizer by doubling its sampling frequency, what is the most efficient way to do it? Should we choose a linear multibit A/D converter or an oversampling one?