Frequency Sampling

This lecture introduces the frequency sampling method to approximate an ideal filter by sampling the desired frequency response at regular intervals and computing the inverse DFT. An example is provided using an ideal low pass filter, showcasing the process of obtaining an impulse response and interpolating the frequency response. The limitations of this method in terms of control over main lobes and side lobes are discussed, highlighting its usefulness for quick prototyping but acknowledging its suboptimal nature compared to more sophisticated filter design methods.