Luxembourg (Belgium) Luxembourg (Belgium) Luxembourg (; ; ; ; ) is the southernmost province of Wallonia and of Belgium. It borders on (clockwise from the east) the country of Luxembourg, France, and the Belgian provinces of Namur and Liège. Its capital is Arlon (, ), in the south-east of the province. It has an area of , making it the largest Belgian province. At around 250,000 residents, it is also the least populated province, making it a relatively sparsely populated province in an otherwise very densely populated country. It is significantly larger (70%) and much less populous than the neighbouring Grand Duchy
Phase-locked loop ranges between initial and final phase deviation is larger than formula_13, we say that cycle slipping takes place. Here, sometimes, the limit of the difference or the maximum of the difference is considered Definition of lock-in range. If the loop is in a locked state, then after an abrupt change of formula_15 free within a lock-in range formula_16, the PLL acquires lock without cycle slipping. Here formula_17 is called lock-in frequency. Phase-locked loop ranges The terms hold-in range, pull-in range (acquisition range), and lock-in range are widely used by engineers for the concepts of frequency deviation ranges within which phase-locked loop-based