I was trying to understand convolution from this book and came across this figure:
Here, the input signal is a combination of a sine wave and a ramp. In fig a, the input signal is convolved with a special type of impulse response that is said to be a 'low pass filter' and the output is just the ramp.
And in fig b, impulse response is actually a high pass filter and the output is just the sine wave.
What I'm trying to do is, just by looking at the wave-forms for the impulse response functions, trying to find an intuitive way of knowing what those impulse responses will do when convoluted with a given input signal. I can't 'see' how the first waveform will result only in the ramp as the output signal when given the mentioned input.
Can you guys figure this intuitively in your head? If so, then how?