Lets have a RF-chain as above with system bandwith from HP corner to the green line say 1 MHz.
The signal accumulates delay as it passes through this analog chain, and due to it being non-liner filter chain, the group delay is likely as shown. Now at the end of LP1 and LP2 we have some form of detectors, which taken in the signal and do some type of functional detection on it. However the most important part of the detection is the critical control of switches s1 and s2 to determine when the signal is actually valid ( coming out of the two LFs ?).
So, the question would be what is a valid signal out of the LPF1 , since the input can not be a fixed single freq. component, otherwise we could just use the phase delay. Here the bandwidth is large upto 1 Mhz. So essentially we have to determine the optimum read-out freq or some statistical values to find the optimum switching times.
Can you please suggest how can one actually go on to do it ?
Without any new hardware design . Just lets try signal processing and statistical analysis