Abstract: A method of generating waveforms of a circuit design in a hardware emulation system, includes, capturing, using a first block of the system, input signals at each k*d emulation cycle, wherein k and d are integers and k?0 and d>0; capturing, using the first logic block at each (k*d+i) cycle, value of each input signal determined to have changed relative to a previous emulation cycle, wherein 0<i<d; capturing, using a second logic block, outputs of sequential elements at each k*w*d emulation cycle, wherein w is an integer greater than zero; capturing, using the second logic block, at each (k*w*d+j*d) emulation cycle, outputs of each sequential element that is determined to have changed relative to cycle (k*w*d+(j?1)*d), wherein j is an integer and wherein 0<j<w; and generating waveforms for the signals based on the captured input signals and captured values of the sequential elements.