A method to acquire transient evoked responses at high rates, corresponding to traditional steady state responses (SSR) is developed. Continuous Loop Averaging Deconvolution (CLAD) method is used in conjunction with tailored, low-jitter stimulation sequences. A physiological brain convolution model for SSR generation is adapted and mathematically analyzed. A SSR synthesis method from acquired transient evoked potentials is proposed and implemented. The mathematical models are used to guide the stimulation sequence design method. Visual evoked potentials (VEP) at 10 Hz and auditory evoked responses (AER) at 40 Hz and 80 Hz are acquired using the specially designed and the traditional SSR sequences. Acquired and synthetically generated SSRs are then compared in time and frequency domains to asses the method consistency. The experimental results show an excellent agreement between the acquired and synthetic SSR in all three modalities.