Design a low-pass digital filter for filtering analog signals. Its passband frequency is1.25kHz，and stopband frequency is 3.4kHz.The sampling frequency is 8kHz.The normalized cutoff frequency of the digital low-pass filter is ( )
A: ωp=2500π，ωs=6800π
B: ωp=2500π，ωs=0.85π
C: ωp=0.3125π，ωs=6800π
D: ωp=0.3125π，ωs=0.85π
A: ωp=2500π，ωs=6800π
B: ωp=2500π，ωs=0.85π
C: ωp=0.3125π，ωs=6800π
D: ωp=0.3125π，ωs=0.85π
举一反三
- Design a digital low-pass filter with a passband edge frequency of 1kHz, a stopband edge frequency of 1.5kHz and a sampling frequency of 8kHz. What are the corresponding normalized edge frequencies ωp and ωs? A: ωp=0.25π，ωs=0.375π B: ωp=0.125π，ωs=0.1875π C: ωp=0.25， ωs=0.375 D: ωp=0.125， ωs=0.1875
- 设需要设计一个数字低通滤波器用于对模拟信号进行滤波，通带截止频率为1.25kHz，阻带截止频率为3.4kHz，采样频率为8kHz，则该数字低通滤波器的归一化截止频率为 A: （a）ωp=2500π，ωs=6800π （b）ωp=2500π，ωs=0.85π（c）ωp=0.3125π，ωs=6800π （d）ωp=0.3125π，ωs=0.85π B: ωp=2500π，ωs=0.85π C: ωp=0.3125π，ωs=6800π D: ωp=0.3125π，ωs=0.85π
- 设需要设计一个数字低通滤波器用于对模拟信号进行滤波，通带截止频率为1.25kHz，阻带截止频率为3.4kHz，采样频率为8kHz，则该数字低通滤波器的归一化截止频率为 A: ωp=2500π，ωs=6800π B: ωp=2500π，ωs=0.85π C: ωp=0.3125π，ωs=6800π D: ωp=0.3125π，ωs=0.85π
- To design a digital low-pass filter using the bilinear transformation method and analog low-pass filter, assuming that the cut-off frequency of the analog low-pass filter is [img=134x25]1803a1d911e6cbe.png[/img] and the bilinear transformation parameter [img=82x19]1803a1d91a05bd3.png[/img] is selected, the cut-off frequency [img=17x17]1803a1d922ed622.png[/img] of the resulting digital filter is ( ). A: [img=109x25]1803a1d92a87228.png[/img] B: [img=85x25]1803a1d9330f7ad.png[/img] C: [img=74x25]1803a1d93bdee3e.png[/img] D: [img=98x25]1803a1d9443158c.png[/img]
- The bilinear transformation that directly maps the analog low-pass filter to a digital high-pass filter is [img=102x47]17de859f621abed.png[/img].