Pre-heat the oven to 375°F.
Line a baking sheet with aluminum foil and top with a baking/cooling rack.
Lightly spray the rack with non-stick spray.
Cut kielbasa down the middle, lengthwise.
Slice each half into 1-inch pieces; should have about 30 pieces of kielbasa.
Cut each piece of bacon into thirds.
Wrap one bacon strip around each piece of kielbasa and secure with a toothpick; set aside.
In a small saucepan, combine brown sugar, vinegar, mustard and pepper.
Heat, over medium heat, stirring occasionally, until the sugar is dissolved.
Keep warm on low heat.
Brush the kielbasa with the glaze and place on the baking sheet/rack.
Place in the pre-heated oven and bake for 40 minutes; baste every 15 minutes.
Remove from the oven and place on a serving platter.
