DSP-IIR-Impulse invariance method

What is the Impulse Invariance method used for in the design of IIR filters from analog filters?

• To convert continuous-time signals to discrete-time signals
• To approximate derivatives of continuous-time signals
• To preserve the magnitude response of the original analog filter
• To map the entire analog frequency range to the digital frequency range

What is the key idea behind the Impulse Invariance method for designing IIR filters from analog filters?

• Converting the analog impulse response to a discrete impulse response
• Converting the analog frequency response to a discrete frequency response
• Matching the analog and discrete-time step responses
• Matching the analog and discrete-time frequency responses

What happens to the filter order when designing IIR filters using the Impulse Invariance method with higher sampling rates?

• Filter order increases
• Filter order decreases
• Filter order remains unchanged
• It depends on the type of analog filter used

What is the main limitation of the Impulse Invariance method in designing IIR filters from analog filters?

• Limited accuracy in frequency response
• Limited accuracy in time-domain response
• Limited stability of the resulting digital filter
• Limited ability to design high-order filters

Which type of analog filter is most suitable for designing IIR filters using the Impulse Invariance method?

• Low-pass filter
• High-pass filter
• Band-pass filter
• Band-stop filter

What is the effect of increasing the sampling rate on the magnitude response of the resulting digital filter?

• Increased accuracy in frequency response
• Decreased accuracy in frequency response
• No effect on the accuracy of frequency response
• It depends on the type of analog filter used

Which type of frequency response is preserved in the resulting digital filter when using the Impulse Invariance method?

• Magnitude response
• Phase response
• Group delay response
• Impulse response