Pressure measurement using a Pressure Sensitive Mat (PSM) enables a non-contact approach for monitoring patient vital signs such as respiration rate (RR) and heart rate (HR). Non-contact patient monitoring in Neonatal Intensive Care Units (NICU) can improve the quality of patient care and reduce patient discomfort. This thesis investigates the applicability of PSM for monitoring of neonatal patient respiration rate in the NICU.A clinical trial was conducted with the Children's Hospital of Eastern Ontario (CHEO) collecting PSM data from 15 patients in three different bed types. Gold standard RR and annotations of patient movement and interventions were collected simultaneously.Algorithms for estimating RR were developed by optimizing spatial downsampling, reference signal selection, enhancement, and combining. The RR estimation results were evaluated against gold standard estimates from a commercial patient monitor. The best RR estimation method worked well when the patient is on ventilator support achieving a mean absolute error (MAE) of 3.9 +/-6.6 bpm on clean data without patient movements or interventions. For this patient, 89.7% of RR estimates were within the clinically acceptable range of +/-10 bpm, while 78.4% fell within the more stringent limits of +/-5 bpm.When the RR estimation algorithm is evaluated on all patients, RR estimation performance is mixed. In particular, very low mass neonates and patients laying on multiple blankets presented challenges for RR estimation. Taken together, a 95% confidence interval (CI) for agreement between the estimated and gold standard RR was estimated to be [-44.8, 51.9] bpm with a mean bias of 3.5 bpm, using a mixed effects limits of agreement (LoA)