Sampling spectrum analyzer

A sampling spectrum analyzer comprising:

• (a) a delay line tapped at a plurality of terminals for carrying an input signal,
• (b) means supplying an input signal to said delay line,
• (c) means for repetitively sampling the input signal at said terminals, and
• (d) means for transforming the samples of the input signal from each tap terminal according to one of the transforms ##EQU8## in which m/NT is the frequency of an m.sup.th frequency component of the input signal,
• m is 0, 1, 2 . . . (N-1),
• fn is the n.sup.th sample of the input signal, and
• T is the sampling interval between successive samples, to obtain a corresponding plurality of signals each representative of a different frequency component of the input signal.

A sampling spectrum analyzer comprising:

• (a) means supplying an input signal,
• (b) means for repetitively simultaneously sampling successive time spaced components of said input signal,
• (c) means for transforming each sample according to both the transforms ##EQU9## in which m/NT is the frequency of the m.sup.th frequency component,
• m is 0, 1 . . . N-1,
• fn is the n.sup.th sample of the input signal,
• T is the sampling interval between successive samples, to obtain a plurality of first signals corresponding to one of said transforms each representative of a different frequency component of the input signal, and a plurality of second signals corresponding to the other said transform each representative of a different frequency component of the input signal,
• (d) means for summing the plurality of first signals in predetermined time order to obtain a first summed signal,
• (e) means for summing the plurality of second signals in predetermined time order to obtain a second summed signal, the second summed signal being orthogonal in the frequency domain to the first summed signal, and
• (f) means for vector adding the first and second summed signals, to obtain an output signal providing a time ordered signal representative of the amplitude of the input signal with respect to frequency within a band of frequencies.

A sampling spectrum analyzer comprising:

• (a) signal input means for receiving RF signal input pulses,
• (b) a power divider connected to the input means for providing a pair of signals corresponding to the input signal,
• (c) a pair of delay lines connected to said power divider to receive respective signals, each delay line having a plurality of taps spaced at like time interval locations,
• (d) means for simultaneously and repetitively sampling the pair of signals carried by the delay lines,
• (e) means for weighting each of said input signal samples and summing the resultant signal in a predetermined time sequence to transform the resultant signal into a cosine function of frequency in accordance with a discrete Fourier transform relationship from one of the delay lines and into a sine function of frequency in accordance with said Fourier transform relationship from the other of the delay lines,
• (f) a pair of output delay lines tapped at like predetermined time interval locations,
• (g) means for applying the samples transformed according to said cosine function of frequency to corresponding taps of one of the output delay lines,
• (h) means for applying the samples transformed according to said sine function of frequency to corresponding taps of the other of the delay lines, and
• (i) means for vectorially adding output signals of the output delay lines to obtain a time ordered signal representative of the amplitudes of the input signal at successive frequencies within a band of frequencies.