A programmable waveform generator, comprising: a controllable waveform generator configured to generate an initial bandwidth signal having an initial frequency bandwidth; a tone generator configured to generate a plurality of tone signals, each tone signal having a different frequency; a first bandwidth-multiplying circuit, including a first mixer having a first input port configured to receive the low-bandwidth signal; a first switch configured to choose one of the plurality of tone signals or a phase shifted version of one of the plurality of tone signals and output the chosen signal as a first chosen tone; a controller configured to control the operation of the bandwidth multiplying block, wherein the first mixer is further configured to receive the first chosen tone at a second input port, wherein the first mixer is further configured to mix the initial bandwidth signal and the first chosen tone to generate a first bandwidth signal at an output port, the first bandwidth signal having a first frequency bandwidth, wherein the first frequency bandwidth is greater than the initial frequency bandwidth, and wherein the first frequency bandwidth is an integer multiple of the initial frequency bandwidth.