You are to design a DSB-SC modulator to give a modulated signal with a carrier frequency of 150 kHz. However, you only have available to you the message signal m(t) of bandwidth 10 kHz, a sinusoidal oscillator whose output is A, cos 1000zt, a box of diodes, and a universal filter which can be configured as a low-pass, bandpass, or high-pass filter with unity gain in its passband. Sketch the circuit you would use in your design. Specify the type of filter in your design, and its passband. What is the expression for the output DSB-SC signal?