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Chapter 2  A/D and D/A Conversion

 

 

 

 

A/D Conversion转换

 

 

D/A Conversion转换

 

 

Undersampling欠采样

 

 

Oversampling过采样

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A/D Converter

     

              抗混叠          采样保持         量化编码

 

     Anti-Aliasing抗混叠 p.35 Fig2.7    

 

 

     Nyquist Theorem定理:p.37 Fig2.9

         A signal with a maximum frequency

         of  W  Hz   ( called  a  band - limited

         signal) must be sampled at least 2W

         samples(样本) per second to ensure

         accurate recording.

 

 

     Sample & Hold

         Sampling Intervals间隔

          Sampling Period周期        Ts

          Sampling Frequency频率 fs

     Quantization (N-Bit Converter)

         Bit Rate比特率Nfs

          Precision精度: Q = R/2N  (R : Magnitude Range)

          Error量化误差:   [-Q/2, +Q/2]

 

 

Dynamic Range 动态范围:(Decibel: dB)

 

   

 

       Signal-to-Noise Ratio (SNR): 信噪比

 

 

   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

D/A Converter

                       零阶保持  消像滤波器

                     

     Zero Order Holding:   Generates Analog Signal

            

     Low Pass Filter:  Remove Images

             

                    Spectrum of Stair-Like Signal                 Spectrum of Analog Signal

 

 

                               连续的             离散的        

 

 

 

Analog signal driving A/D

Sample and hold signal from A/D

Zero order hold signal from D/A

Reconstructed signal from D/A

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Undersampling欠采样

 

    Narrow Band Signal窄带信号, B << W

            B : Bandwidth 带宽

            W: Central or Carrying Frequency

       中频或载频

 

    Set  fs = B,  then Base Band Filtering基带滤波

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Oversampling过采样

 

                         Analog Signal has Infinite Bandwidth!

 

Anti-Aliasing Filter,

Analog, High Cost

Quantizer, Digital,

Low Cost

W Cutoff, High Order, Cost More

fs = 2W

3W Cutoff, Low Order, Cost Less

fs > 2W