We have previously developed a mathematical analysis technique for estimating the static gain values of the arterial total peripheral resistance (TPR) baroreflex (G_A) and the cardiopulmonary TPR baroreflex (G_C) from small, spontaneous beat-to-beat fluctuations in arterial blood pressure, cardiac output, and stroke volume. Here, we extended the mathematical analysis so as to also estimate the entire arterial TPR baroreflex impulse response (h_A(t)) as well as the lumped arterial compliance (AC). The extended technique may therefore provide a linear dynamic characterization of the TPR baroreflex systems during normal physiologic conditions from potentially non-invasive measurements. We theoretically evaluated the technique with respect to realistic spontaneous hemodynamic variability generated by a cardiovascular simulator with known system properties. Our results showed that the technique reliably estimated h_A(t) (error = 30.2±2.6% for square root of energy (E_A), 19.7±1.6% for absolute peak amplitude (P_A), 37.3±2.5% for G_A, and 33.1±4.9% for overall time constant) and AC (error = 17.6±4.2%) under various simulator parameter values and reliably tracked changes in G_C. We also experimentally evaluated the technique with respect to spontaneous hemodynamic variability measured from seven conscious dogs before and after chronic arterial baroreceptor denervation. Our results showed that the technique correctly predicted the abolishment of h_A(t) (E_A = 1.0±0.2 to 0.3±0.1, PA = 0.3±0.1 to 0.1±0.0 s-1, and G_A = -2.1±0.6 to 0.3±0.2 (p<0.05)) and the enhancement of G_C (-0.7±0.44 to -1.8±0.2 (p<0.05)) following the chronic intervention. Moreover, the technique yielded estimates whose values are consistent with those reported with more invasive and/or experimentally difficult methods.