Example (continued)

• Notice that in the previos example, there is barely a difference between input and output.
• It appears that sinusoids of frequency f=0.01 pass through the filter without significant attenuation.
• Further, notice that the output is also a sinusoid of frequency f=0.01.
• Now, let f=0.1; the resulting input and output are shown below.
• Notice, that (except for the transient at the beginning, the output signal is identical to zero.
• That means, the filter completely rejects sinusoids of frequency f=0.1!

  

Figure 4.9: Input (top) and output (bottom) when f=0.1 and N+1=10